SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                  Schedule 13D
                               (Amendment No. 20)*

                    Under the Securities Exchange Act of 1934


                           TITANIUM METALS CORPORATION
                                (Name of Issuer)

                     Common Stock, $0.01 par value per share
                         (Title of Class of Securities)

                                   888339 10 8
                                 (CUSIP Number)

                                STEVEN L. WATSON
                              THREE LINCOLN CENTRE
                                   SUITE 1700
                                5430 LBJ FREEWAY
                            DALLAS, TEXAS 75240-2694
                                 (972) 233-1700
                  (Name, Address and Telephone Number of Person
                Authorized to Receive Notices and Communications)

                                  July 16, 2004
                      (Date of Event which requires Filing
                               of this Statement)

     If the filing  person has  previously  filed a statement on Schedule 13G to
report the  acquisition  that is the subject of this Schedule 13D, and is filing
this schedule  because of sections  240.13d-1(e),  240.13d-1(f) or 240.13d-1(g),
check the following box. [ ]

     *The  remainder  of this cover  page  shall be filled  out for a  reporting
person's  initial  filing on this  form with  respect  to the  subject  class of
securities,  and for any subsequent amendment containing information which would
alter disclosures provided in a prior cover page.

     The  information  required on the remainder of this cover page shall not be
deemed to be "filed"  for the purpose of Section 18 of the  Securities  Exchange
Act of 1934 ("Act") or otherwise  subject to the  liabilities of that section of
the Act but shall be subject to all other  provisions of the Act  (however,  see
the Notes).

                         (Continued on following pages)






CUSIP No.  888339 10 8

     1       NAMES OF REPORTING PERSONS
             AND I.R.S. IDENTIFICATION NOS. OF SUCH PERSONS (ENTITIES ONLY)

                      Tremont LLC

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [ X ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      WC and AF

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Delaware

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     1,261,850
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      1,261,850

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      1,261,850

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      39.7%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      OO






CUSIP No.  888339 10 8

     1       NAMES OF REPORTING PERSONS
             AND I.R.S. IDENTIFICATION NOS. OF SUCH PERSONS (ENTITIES ONLY)

                      Valhi, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [ X ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Delaware

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     1,299,018
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      1,299,018

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      1,299,018

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      40.8%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  888339 10 8

     1       NAMES OF REPORTING PERSONS
             AND I.R.S. IDENTIFICATION NOS. OF SUCH PERSONS (ENTITIES ONLY)

                      Valhi Group, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [ X ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Nevada

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     1,299,018
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      1,299,018

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      1,299,018

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      40.8%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  888339 10 8

     1       NAMES OF REPORTING PERSONS
             AND I.R.S. IDENTIFICATION NOS. OF SUCH PERSONS (ENTITIES ONLY)

                      National City Lines, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [ X ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Delaware

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     1,299,018
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      1,299,018

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      1,299,018

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      40.8%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  888339 10 8

     1       NAMES OF REPORTING PERSONS
             AND I.R.S. IDENTIFICATION NOS. OF SUCH PERSONS (ENTITIES ONLY)

                      NOA, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [ X ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Texas

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     1,299,018
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      1,299,018

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      1,299,018

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      40.8%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  888339 10 8

     1       NAMES OF REPORTING PERSONS
             AND I.R.S. IDENTIFICATION NOS. OF SUCH PERSONS (ENTITIES ONLY)

                      Dixie Holding Company

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [ X ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Delaware

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     1,299,018
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      1,299,018

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      1,299,018

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      40.8%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  888339 10 8

     1       NAMES OF REPORTING PERSONS
             AND I.R.S. IDENTIFICATION NOS. OF SUCH PERSONS (ENTITIES ONLY)

                      Dixie Rice Agricultural Corporation, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [ X ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Louisiana

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     1,299,018
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      1,299,018

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      1,299,018

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      40.8%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  888339 10 8

     1       NAMES OF REPORTING PERSONS
             AND I.R.S. IDENTIFICATION NOS. OF SUCH PERSONS (ENTITIES ONLY)

                      Southwest Louisiana Land Company, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [ X ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Louisiana

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     1,299,018
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      1,299,018

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      1,299,018

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      40.8%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  888339 10 8

     1       NAMES OF REPORTING PERSONS
             AND I.R.S. IDENTIFICATION NOS. OF SUCH PERSONS (ENTITIES ONLY)

                      Contran Corporation

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [ X ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Delaware

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     1,299,018
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      1,299,018

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      1,299,018

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      40.8%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  888339 10 8

     1       NAMES OF REPORTING PERSONS
             AND I.R.S. IDENTIFICATION NOS. OF SUCH PERSONS (ENTITIES ONLY)

                      Harold Simmons Foundation, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [ X ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Texas

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     1,299,018
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      1,299,018

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      1,299,018

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      40.8%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  888339 10 8

     1       NAMES OF REPORTING PERSONS
             AND I.R.S. IDENTIFICATION NOS. OF SUCH PERSONS (ENTITIES ONLY)

                      The Combined Master Retirement Trust

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [ X ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      WC

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Texas

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     1,656,030
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      1,656,030

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      1,656,030

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      52.0%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      EP






CUSIP No.  888339 10 8

     1       NAMES OF REPORTING PERSONS
             AND I.R.S. IDENTIFICATION NOS. OF SUCH PERSONS (ENTITIES ONLY)

                      Annette C. Simmons

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP(SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [ X ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      PF

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      USA

                               7      SOLE VOTING POWER

                                                        214,240
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                           -0-
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                         214,240

                               10     SHARED DISPOSITIVE POWER

                                                            -0-

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      214,240

    12       CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [ X ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      6.3%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      IN






CUSIP No.  888339 10 8

     1       NAMES OF REPORTING PERSONS
             AND I.R.S. IDENTIFICATION NOS. OF SUCH PERSONS (ENTITIES ONLY)

                      Harold C. Simmons

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP(SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [ X ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      USA

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                     1,870,270
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                      1,870,270

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      -0-

    12       CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [ X ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      0.0%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      IN






                                AMENDMENT NO. 20
                                 TO SCHEDULE 13D

     This amended  statement on Schedule 13D  (collectively,  this  "Statement")
relates  to the  common  stock,  $0.01 par value per share  (the  "Shares"),  of
Titanium Metals Corporation, a Delaware corporation (the "Company"). Items 2, 3,
4, 5, 6 and 7 of this Statement are hereby amended as set forth below.

Item 2.  Identity and Background.

     Item 2 is amended as follows:

     (a)  The   following   entities  or  person  are  filing   this   Statement
(collectively, the "Reporting Persons"):

          (i) Tremont LLC and The Combined Master  Retirement Trust (the "CMRT")
     as direct holders of Shares;

          (ii)  Valhi,  Inc.  ("Valhi")  as the  direct  holder of Shares and of
     Beneficial  Unsecured  Convertible  Securities of the TIMET Capital Trust 1
     (the  "BUCS")  that are  convertible  into  Shares and by virtue of Valhi's
     direct holding of 100% of the outstanding  membership  interests of Tremont
     LLC;

          (iii)  Valhi  Group,   Inc.   ("VGI"),   National  City  Lines,   Inc.
     ("National"),  NOA, Inc. ("NOA"),  Dixie Holding Company ("Dixie Holding"),
     Dixie  Rice  Agricultural  Corporation,   Inc.  ("Dixie  Rice"),  Southwest
     Louisiana Land Company, Inc. ("Southwest"), Contran Corporation ("Contran")
     and the Harold Simmons  Foundation,  Inc. (the  "Foundation")  by virtue of
     their  direct and  indirect  ownership  of  securities  of Tremont  LLC (as
     described below in this Statement);

          (iv) Harold C.  Simmons by virtue of his  positions  with  Contran and
     certain of the other entities (as described in this Statement); and

          (v) Annette C. Simmons,  Harold C. Simmons's  spouse, by virtue of her
     direct ownership of BUCS.

By  signing this Statement, each Reporting  Person agrees that this Statement is
filed on its, his or her behalf.

     Tremont  LLC,  the CMRT and Valhi are the direct  holders of  approximately
39.7%, 11.2% and 1.1%,  respectively,  of the 3,180,002 Shares outstanding as of
July 6, 2004 according to the Company's  Proxy Statement dated July 7, 2004 (the
"Outstanding Shares"). Tremont LLC may be deemed to control the Company.

     Valhi also  directly  holds  14,700  BUCS that are  convertible  into 1,968
Shares,  or  approximately  0.1% of the  outstanding  Shares  assuming  the full
conversion of only the BUCS Valhi directly holds.


     Harold  C.  Simmons'   spouse   directly  holds  1,600,000  BUCS  that  are
convertible into 214,240 Shares, or approximately 6.3% of the outstanding Shares
assuming the full conversion of only the BUCS she directly holds.

     Valhi is the direct holder of 100% of the outstanding  membership interests
of Tremont LLC and may be deemed to control Tremont LLC. VGI, National, Contran,
the Foundation, the Contran Deferred Compensation Trust No. 2 (the "CDCT No. 2")
and the CMRT are the direct holders of 77.6%,  9.1%,  3.2%, 0.9%, 0.4% and 0.1%,
respectively,  of the common stock of Valhi. Together, VGI, National and Contran
may be deemed to control Valhi.  National,  NOA and Dixie Holding are the direct
holders  of  approximately  73.3%,  11.4%  and  15.3%,   respectively,   of  the
outstanding common stock of VGI. Together,  National,  NOA and Dixie Holding may
be  deemed  to  control  VGI.   Contran  and  NOA  are  the  direct  holders  of
approximately 85.7% and 14.3%, respectively,  of the outstanding common stock of
National and together may be deemed to control  National.  Contran and Southwest
are the direct holders of approximately  49.9% and 50.1%,  respectively,  of the
outstanding common stock of NOA and together may be deemed to control NOA. Dixie
Rice is the  direct  holder  of 100% of the  outstanding  common  stock of Dixie
Holding  and may be deemed to control  Dixie  Holding.  Contran is the holder of
100% of the outstanding  common stock of Dixie Rice and may be deemed to control
Dixie  Rice.  Contran is the holder of  approximately  88.9% of the  outstanding
common stock of Southwest and may be deemed to control Southwest.

     Substantially all of Contran's  outstanding  voting stock is held by trusts
established for the benefit of certain  children and  grandchildren of Harold C.
Simmons (the "Trusts"), of which Mr. Simmons is the sole trustee, or held by Mr.
Simmons or persons or other entities related to Mr. Simmons.  As sole trustee of
each of the Trusts, Mr. Simmons has the power to vote and direct the disposition
of the shares of Contran stock held by each of the Trusts. Mr. Simmons, however,
disclaims  beneficial  ownership of any shares of Contran  stock that the Trusts
hold.

     The CMRT directly holds  approximately  11.2% of the Outstanding Shares and
0.1% of the outstanding shares of Valhi common stock. Valhi established the CMRT
as a trust to permit the  collective  investment  by master trusts that maintain
the assets of certain employee benefit plans Valhi and related  companies adopt.
Mr. Simmons is the sole trustee of the CMRT and a member of the trust investment
committee  for the  CMRT.  He is a  participant  in one or more of the  employee
benefit plans that invest through the CMRT.


     The Foundation directly holds approximately 0.9% of the outstanding
Valhi common stock. The Foundation is a tax-exempt foundation organized for
charitable purposes. Harold C. Simmons is the chairman of the board of the
Foundation and may be deemed to control the Foundation.

     The CDCT No. 2 directly holds  approximately  0.4% of the outstanding Valhi
common stock. U.S. Bank National  Association  serves as the trustee of the CDCT
No. 2. Contran  established  the CDCT No. 2 as an  irrevocable  "rabbi trust" to
assist Contran in meeting certain deferred compensation obligations that it owes
to Harold C. Simmons.  If the CDCT No. 2 assets are insufficient to satisfy such
obligations,  Contran is obligated to satisfy the balance of such obligations as
they come due.  Pursuant to the terms of the CDCT No. 2, Contran (i) retains the
power to vote the shares of Valhi common stock held  directly by the CDCT No. 2,
(ii)  retains  dispositive  power  over such  shares and (iii) may be deemed the
indirect beneficial owner of such shares.

     Valmont Insurance  Company  ("Valmont"),  NL Industries,  Inc. ("NL") and a
subsidiary of NL directly own 1,000,000  shares,  3,522,967 shares and 1,186,200
shares, respectively,  of Valhi common stock. Valhi is the direct holder of 100%
of the  outstanding  shares of Valmont common stock and may be deemed to control
Valmont.  Valhi,  Tremont  LLC and a  subsidiary  of the  Company are the direct
holders of approximately 62.3%, 21.1% and 0.5%, respectively, of the outstanding
shares of NL common stock and together may be deemed to control NL. Valhi is the
sole member of Tremont LLC and may be deemed to control Tremont LLC. Pursuant to
Delaware law, Valhi treats the shares of Valhi common stock that Valmont, NL and
the  subsidiary  of NL own as  treasury  stock for voting  purposes  and for the
purposes of this Statement such shares are not deemed outstanding.

     Mr.  Harold C. Simmons is chairman of the board of Tremont LLC, NL,  Valhi,
VGI, National, NOA, Dixie Holding, Dixie Rice, Southwest and Contran.

     By virtue of the offices  held,  the stock  ownership  and his  services as
trustee,  all as described  above,  (a) Mr. Simmons may be deemed to control the
entities described above and (b) Mr. Simmons and certain of such entities may be
deemed to possess  indirect  beneficial  ownership  of Shares  directly  held by
certain of such other entities.  Mr. Simmons disclaims  beneficial  ownership of
the Shares beneficially owned, directly or indirectly, by any of such entities.

     Harold C.  Simmons'  spouse is the direct  owner of 43,400  shares of Valhi
common stock. Mr. Simmons may be deemed to share indirect  beneficial  ownership
of such shares. Mr. Simmons disclaims all such beneficial ownership.

     Harold C.  Simmons  is the  direct  owner of 3,383  shares of Valhi  common
stock.


     A trust of which Harold C. Simmons and his spouse are  co-trustees  and the
beneficiaries of which are the  grandchildren of his spouse is the direct holder
of 40,000  shares of Valhi  common  stock.  Each of Mr.  Simmons  and his spouse
disclaims beneficial ownership of these shares.

     (b) The business address of Harold C. Simmons' spouse is, Three Lincoln
Centre, 5430 LBJ Freeway, Suite 1700, Dallas, Texas 75240-2697.

     (c) Harold C. Simmons' spouse is a private investor.

     (d)  None of the  Reporting  Persons  or,  to the  best  knowledge  of such
persons,  any of the  persons  named in  Schedule B to this  Statement  has been
convicted in a criminal  proceeding  in the past five years  (excluding  traffic
violations or similar misdemeanors).

     (e)  None of the  Reporting  Persons  or,  to the  best  knowledge  of such
persons,  any person  named in  Schedule B to this  Statement,  was a party to a
civil proceeding of a judicial or administrative body of competent  jurisdiction
as a result of which such  person was or is  subject  to a  judgment,  decree or
final  order  enjoining  future  violations  of,  or  prohibiting  or  mandating
activities subject to, federal or state securities laws or finding any violation
with respect to such laws.

     (f) Harold C. Simmons' spouse is a citizen of the United States.

Item 3.  Source and Amount of Funds or Other Consideration.

     Item 3 is amended to add the following:

     The total amount of funds (including  commissions) the CMRT used to acquire
the Shares it purchased as reported in Item 5(c) was  $8,879,314.00.  Such funds
were provided by the CMRT's cash on hand.

     On February 20, 2004,  Harold C. Simmons' spouse  purchased  1,600,000 BUCS
from Contran in a private  transaction for an aggregate  purchase price of $19.5
million,  which  purchase price was paid in the form of the reduction in full of
approximately   $19.1  million  of  principal  of,  and  interest  on,   certain
indebtedness that Contran owed her and her payment of approximately $0.4 million
in cash to Contran from her personal funds.

     Except as otherwise  previously  disclosed under this Item 3, the Reporting
Persons  understand  that the funds used by each  person  named in Schedule B to
this Statement to acquire Shares were from such person's personal funds.


Item 4.  Purpose of Transaction

     No change to Item 4 except for the addition of the following:

     The  CMRT  purchased  the  Shares  reported  in Item  5(c)  for  investment
purposes.

     Harold C. Simmons' spouse purchased BUCS for investment purposes.

     Depending  upon their  evaluation of the Company's  business and prospects,
and upon future developments (including,  but not limited to, performance of the
Company's securities in the market,  availability of funds,  alternative uses of
funds,  the Reporting  Persons' tax planning  objectives  and cash needs,  stock
market and general economic  conditions),  any of the Reporting Persons or other
entities or persons  that may be deemed to be  affiliated  with Contran may from
time to time purchase Company  securities,  and any of the Reporting Persons, or
other  entities or persons that may be deemed to be affiliated  with Contran may
from time to time dispose of all or a portion of Company securities held by such
entity or  person,  or cease  buying or  selling  Company  securities.  Any such
additional  purchases  or sales of Company  securities  may be in open market or
privately negotiated transactions or otherwise.

     As  described  under Item 2, Harold C.  Simmons,  through  Contran,  may be
deemed to control the Company.

     The information included in Item 6 of this Statement is incorporated herein
by reference.

     The  Reporting  Persons  understand  that prior  purchases of the Company's
equity  securities by each of the persons named in Schedule B to this  Statement
were made for such person's personal investment.

Item 5.  Interest in Securities of the Issuer.

     Item 5 is amended as follows:

     No change except for the addition of the following:

     (a) Tremont  LLC,  the CMRT and Valhi are the direct  holders of  1,261,850
Shares,  357,012 Shares and 35,200 Shares.  Harold C. Simmons'  spouse and Valhi
are the direct  holders of 1,600,000 BUCS and 14,700 BUCS,  respectively,  which
are convertible into 214,240 Shares and 1,968 Shares, respectively.


     By virtue of the relationships described under Item 2 of this Statement:

          (1) Valhi, VGI, National,  NOA, Dixie Holding,  Dixie Rice, Southwest,
     Contran and the Foundation may each be deemed to be the beneficial owner of
     the 1,297,050 Shares that Tremont LLC and Valhi hold directly and the 1,968
     Shares  Valhi may  acquire  upon  conversion  of the 14,700 BUCS that Valhi
     holds directly (in the aggregate  1,299,018 Shares, or approximately  40.8%
     of the  outstanding  Shares  assuming the full  conversion  of only Valhi's
     BUCS);

          (2) The CMRT may be deemed to be the beneficial owner of the 1,654,062
     Shares that  Tremont  LLC,  the CMRT and Valhi hold  directly and the 1,968
     Shares  Valhi may  acquire  upon  conversion  of the 14,700 BUCS that Valhi
     holds directly (in the aggregate  1,656,030 Shares, or approximately  52.0%
     of the  outstanding  Shares  assuming the full  conversion  of only Valhi's
     BUCS);

          (3) Harold C. Simmons may be deemed to be the beneficial  owner of the
     1,654,062 Shares that Tremont LLC, the CMRT and Valhi hold directly and the
     216,208  Shares his spouse and Valhi may  acquire  upon  conversion  of the
     1,614,700  BUCS that his spouse and Valhi hold  directly (in the  aggregate
     1,870,270 Shares, or approximately 55.1% of the outstanding Shares assuming
     the full  conversion of only the BUCS his spouse and Valhi directly  hold);
     and

          (4) Harold C. Simmons' spouse may be deemed to be the beneficial owner
     of the 214,240 Shares she may acquire upon conversion of the 1,600,000 BUCS
     that she  holds  directly  (approximately  6.3% of the  outstanding  Shares
     assuming the full conversion of only the BUCS she directly holds).

     Mr. Simmons disclaims beneficial ownership of all Company securities.

     (b) By virtue of the relationships described in Item 2:

          (1) Valhi, VGI, National,  NOA, Dixie Holding,  Dixie Rice, Southwest,
     Contran  and the  Foundation  may each be deemed to share the power to vote
     and direct the  disposition  of the  1,297,050  Shares that Tremont LLC and
     Valhi hold directly and the 1,968 Shares Valhi may acquire upon  conversion
     of the 14,700 BUCS that Valhi holds  directly (in the  aggregate  1,299,018
     Shares, or approximately  40.8% of the outstanding Shares assuming the full
     conversion of only Valhi's BUCS);

          (2) The CMRT may be deemed to share the power to vote and  direct  the
     disposition  of the 1,654,062  Shares that Tremont LLC, the CMRT and Valhi,
     hold directly and the 1,968 Shares Valhi may acquire upon conversion of the
     14,700 BUCS that Valhi holds directly (in the aggregate  1,656,030  Shares,
     or  approximately  52.0%  of  the  outstanding  Shares  assuming  the  full
     conversion of only Valhi's BUCS);


          (3)  Harold  C.  Simmons  may be deemed to share the power to vote and
     direct the  disposition of the 1,654,062  Shares that Tremont LLC, the CMRT
     and Valhi hold  directly  and the  216,208  Shares his spouse and Valhi may
     acquire upon  conversion  of the  1,614,700  BUCS that his spouse and Valhi
     hold directly (in the aggregate 1,870,270 Shares, or approximately 55.1% of
     the  outstanding  Shares  assuming the full conversion of only the BUCS his
     spouse and Valhi directly hold); and

          (4) Harold C. Simmons' spouse may be deemed to share the power to vote
     and direct the  disposition  of the  214,240  Shares she may  acquire  upon
     conversion of the  1,600,000  BUCS that she holds  directly  (approximately
     6.3% of the  outstanding  Shares  assuming the full  conversion of only the
     BUCS she directly holds).

     (c) The CMRT is the  only  Reporting  Person  to have  transactions  in the
Shares during the past 60 days. The CMRT executed the following  transactions in
Shares on the New York Stock Exchange.



                                Number of        Approximate Price Per Share ($)
             Date                 Shares            (exclusive of commissions)
         ------------         -------------      -------------------------------
                                             
           07/07/04                   300                    $96.69
           07/07/04                 2,700                    $97.00
           07/07/04                   600                    $97.20
           07/07/04                 1,400                    $97.50
           07/07/04                 1,000                    $97.75
           07/07/04                   100                    $97.77
           07/07/04                 3,900                    $98.00
           07/07/04                   800                    $98.50
           07/08/04                   100                    $98.24
           07/08/04                 2,400                    $98.25
           07/08/04                   200                    $98.29
           07/08/04                   100                    $98.30
           07/08/04                   100                    $98.31
           07/08/04                 1,000                    $98.36
           07/08/04                   100                    $98.40
           07/08/04                   300                    $98.45
           07/08/04                   200                    $98.48
           07/08/04                 2,800                    $98.50
           07/08/04                   600                    $98.69
           07/08/04                   500                    $98.70
           07/08/04                 2,000                    $98.73





                                Number of        Approximate Price Per Share ($)
             Date                 Shares            (exclusive of commissions)
         ------------         -------------      -------------------------------
                                             
           07/08/04                   200                    $98.74
           07/08/04                13,700                    $98.75
           07/09/04                 8,000                    $98.75
           07/09/04                   200                    $98.73
           07/09/04                 4,000                    $98.50
           07/09/04                 2,000                    $98.25
           07/09/04                   900                    $98.23
           07/09/04                 1,100                    $98.15
           07/12/04                 2,000                    $97.50
           07/12/04                 2,000                    $98.00
           07/12/04                   100                    $98.75
           07/12/04                   100                    $99.00
           07/12/04                 1,800                    $99.25
           07/13/04                   400                    $97.50
           07/16/04                 3,200                    $98.74
           07/16/04                   100                    $98.75
           07/16/04                 1,300                    $98.98
           07/16/04                   900                    $98.99
           07/16/04                 4,500                    $99.00
           07/20/04                 1,000                    $99.50
           07/21/04                 2,000                    $99.50
           07/22/04                 2,000                    $98.00
           07/22/04                 2,000                    $99.00
           07/23/04                   100                    $97.90
           07/23/04                   900                    $98.00
           07/23/04                   500                    $99.00
           07/23/04                 1,500                    $99.50
           07/23/04                   200                    $99.59
           07/23/04                   800                    $99.99
           07/26/04                 2,000                    $99.50
           07/26/04                 2,000                    $98.50
           07/26/04                 2,000                    $98.00
           07/26/04                 2,000                    $97.00
           07/26/04                 2,000                    $96.00
           07/26/04                 1,500                    $95.00


     (d) Each of Tremont LLC, the CMRT,  Harold C. Simmons' spouse and Valhi has
the right to receive and the power to direct the receipt of dividends  from, and
proceeds from the sale of, the Company securities held by such entity or person.

Item 6.  Contracts, Arrangements, Understandings  or  Relationships With Respect
         to Securities of the Issuer.

     Item 6 is amended as follows:

     The  information  included  in Items 3 and 4 of this  Statement  is  hereby
incorporated herein by reference.


     Other than as set forth  above,  none of the  Reporting  Persons or, to the
best knowledge of such persons, any person named in Schedule B to this Statement
has  any  contract,   arrangement,   understanding  or  relationship  (legal  or
otherwise) with any person with respect to securities of the Company, including,
but not limited to,  transfer or voting of any such  securities,  finder's fees,
joint  ventures,  loans or option  arrangements,  puts or calls,  guarantees  of
profits, division of profits or losses, or the giving or withholding of proxies.

Item 7.  Material to be Filed as Exhibits.

     Item 7 is amended and restated in its entirety as follows:

            
Exhibit 1      Agreement  and  Plan  of  Merger  dated  November  4,  2002 among
               Valhi, Inc., Valhi Acquisition Corp. and Tremont Corporation,  as
               amended   (incorporated   by  reference  to  Appendix  A  to  the
               Registration Statement on Form S-4 (Reg. No. 333-101244) filed by
               Valhi,  Inc.  with the  Securities  and  Exchange  Commission  on
               November 15, 2002).

Exhibit 2      Agreement and Plan of Merger dated as of  November 4, 2002  among
               Valhi,  Inc.,  Tremont Group, Inc. and Valhi Acquisition Corp. II
               (incorporated  by  reference  to  Exhibit  10.3 to the  Quarterly
               Report  on Form  10-Q  of  Valhi,  Inc.  for  the  quarter  ended
               September 30, 2002).

Exhibit 3      Schedule TO dated as of May 5, 2003  filed by  Valhi,  Inc.  with
               the Securities and Exchange Commission (incorporated by reference
               to the  Schedule TO dated as of May 5, 2003 filed by Valhi,  Inc.
               with the Securities and Exchange Commission).

Exhibit 4      Amendment  No. 1 to Schedule TO dated as of May 16, 2003 filed by
               Valhi,   Inc.  with  the  Securities   and  Exchange   Commission
               (incorporated  by reference to Amendment No. 1 to the Schedule TO
               dated as of May 16, 2003 filed by Valhi, Inc. with the Securities
               and Exchange Commission).

Exhibit 5      Amendment  No. 2 to Schedule TO dated as of May 23, 2003 filed by
               Valhi,   Inc.  with  the  Securities   and  Exchange   Commission
               (incorporated  by reference to Amendment No. 2 to the Schedule TO
               dated as of May 23, 2003 filed by Valhi, Inc. with the Securities
               and Exchange Commission).

Exhibit 6      Amendment  No. 3 to Schedule TO dated as of June 3, 2003 filed by
               Valhi,   Inc.  with  the  Securities   and  Exchange   Commission
               (incorporated  by reference to Amendment No. 3 to the Schedule TO
               dated as of June 3, 2003 filed by Valhi, Inc. with the Securities
               and Exchange Commission).

Exhibit 7*     Power  of  Attorney  dated  July 26, 2004 executed by  Annette C.
               Simmons.

-----------
*  Filed herewith.




                                    Signature

     After  reasonable  inquiry and to the best of my  knowledge  and belief,  I
certify that the information  set forth in this Statement is true,  complete and
correct.

Date:  July 26, 2004




                                             /s/ Harold C. Simmons
                                             --------------------------
                                             Harold C. Simmons
                                             Signing in the
                                             capacities listed on
                                             Schedule "A" attached
                                             hereto and
                                             incorporated herein by
                                             reference.





                                    Signature

     After  reasonable  inquiry and to the best of my  knowledge  and belief,  I
certify that the information  set forth in this Statement is true,  complete and
correct.

Date:  July 26, 2004




                                             /s/ Steven L. Watson
                                             --------------------------
                                             Steven L. Watson
                                             Signing in the
                                             capacities listed on
                                             Schedule "A" attached
                                             hereto and
                                             incorporated herein by
                                             reference.





                                   SCHEDULE A


HAROLD C.  SIMMONS,  in his  individual  capacity,  as trustee  for THE COMBINED
MASTER  RETIREMENT  TRUST and as attorney-in-fact for ANNETTE C. SIMMONS


STEVEN L. WATSON, as president or vice president of each of:

CONTRAN CORPORATION
DIXIE HOLDING COMPANY
DIXIE RICE AGRICULTURAL CORPORATION, INC.
HAROLD SIMMONS FOUNDATION, INC.
NATIONAL CITY LINES, INC.
NOA, INC.
SOUTHWEST LOUISIANA LAND COMPANY, INC.
TREMONT LLC
VALHI GROUP, INC.
VALHI, INC.




                                   Schedule B

     Schedule B is hereby amended and restated as follows:

     The names of the directors and  executive  officers of Contran  Corporation
("Contran"),  Dixie Holding Company ("Dixie  Holding"),  Dixie Rice Agricultural
Corporation,  Inc.  ("Dixie  Rice"),  the Harold Simmons  Foundation,  Inc. (the
"Foundation"),  National  City Lines,  Inc.  ("National"),  NOA,  Inc.  ("NOA"),
Southwest Louisiana Land Company, Inc. ("Southwest"),  Valhi Group, Inc. ("VGI")
and Valhi, Inc. ("Valhi") and their present principal  occupations are set forth
below.  Except as  otherwise  indicated,  each such  person is a citizen  of the
United  States of America and the  business  address of each such person is 5430
LBJ Freeway, Suite 1700, Dallas, Texas 75240.



         Name                          Present Principal Occupation
-------------------------     --------------------------------------------------
                           
Eugene K. Anderson            Vice  president of  Contran, Dixie  Holding, Dixie
                              Rice,  National,  NOA,  Southwest,  Tremont LLC, a
                              wholly owned limited  liability  company of Valhi,
                              Valhi and VGI; and treasurer of the Foundation.

Thomas E. Barry (1)           Vice   president    for    executive   affairs  at
                              Southern  Methodist  University  and  professor of
                              marketing  in the Edwin L. Cox School of  Business
                              at Southern Methodist  University;  and a director
                              of Valhi.

Norman S. Edelcup (2)         Senior  vice   president  business  development of
                              Florida  Savings  Bancorp;  mayor of  Sunny  Isles
                              Beach, Florida;  director of Valhi; and trustee of
                              the Baron Funds, a mutual fund group.

Lisa Simmons Epstein          Director and president of the Foundation.





         Name                          Present Principal Occupation
-------------------------     --------------------------------------------------
                           
Robert D. Graham              Vice  president  of Contran, Dixie  Holding, Dixie
                              Rice,  National,  NOA, Southwest,  Titanium Metals
                              Corporation  (the  "Company"),  Tremont LLC, Valhi
                              and VGI; and vice  president,  general counsel and
                              secretary  of  Kronos  Worldwide,   Inc.  ("Kronos
                              Worldwide") and NL Industries,  Inc. ("NL"),  both
                              affiliates of Valhi.

J. Mark Hollingsworth         Vice  president  and  general  counsel of Contran,
                              Dixie   Holding,   Dixie  Rice,   National,   NOA,
                              Southwest,  Tremont  LLC,  Valhi and VGI;  general
                              counsel  of the  Foundation;  general  counsel  of
                              CompX  International  Inc.,  an affiliate of Valhi
                              ("CompX");  trust  counsel of The Combined  Master
                              Retirement  Trust,  a trust Valhi formed to permit
                              the collective  investment by trusts that maintain
                              the assets of certain employee benefit plans Valhi
                              and  related  companies  adopt (the  "CMRT");  and
                              acting  general  counsel of Keystone  Consolidated
                              Industries,  Inc.  ("Keystone"),  an  affiliate of
                              Contran.

Keith A. Johnson              Controller of the Foundation.

William J. Lindquist          Director and  senior  vice  president of  Contran,
                              Dixie Holding, National, NOA, Tremont LLC and VGI;
                              senior vice  president  of Dixie Rice,  Southwest,
                              Tremont LLC and Valhi.

A. Andrew R. Louis            Secretary of Contran, CompX, Dixie Holding,  Dixie
                              Rice, National, NOA, Southwest, Tremont LLC, Valhi
                              and VGI.





         Name                          Present Principal Occupation
-------------------------     --------------------------------------------------
                           
Kelly D. Luttmer              Tax director  of Contran,  CompX,  Dixie  Holding,
                              Dixie Rice, Kronos Worldwide,  National,  NL, NOA,
                              Southwest, Tremont LLC, Valhi and VGI.

Andrew McCollam, Jr. (3)      President  and  director  of  Southwest;  director
                              of Dixie Rice; and a private investor.

W. Hayden McIlroy (4)         Private investor  primarily in real  estate; and a
                              director   of  Valhi,   Med   Images,   a  medical
                              information  company,  and Cadco Systems,  Inc., a
                              manufacturer of emergency alert systems.

Harold M. Mire (5)            Vice president of Dixie Rice and Southwest.

Bobby D. O'Brien              Vice  president,  treasurer  and director of Dixie
                              Holding, National, NOA and VGI; vice president and
                              treasurer of Contran,  Dixie Rice,  Southwest  and
                              Tremont  LLC;  vice  president,   chief  financial
                              officer and treasurer of Valhi; and vice president
                              of the Company.

Glenn R. Simmons              Vice  chairman  of  the  board   of Contran, Dixie
                              Holding,  Dixie Rice, National,  NOA, Tremont LLC,
                              Valhi and VGI;  chairman of the board of CompX and
                              Keystone; director and executive vice president of
                              Southwest;  and a director of Kronos Worldwide, NL
                              and the Company.

Harold C. Simmons             Chairman of the  board of Contran,  Dixie Holding,
                              Dixie  Rice,  the   Foundation,   National,   NOA,
                              Southwest, Tremont LLC, Valhi and VGI; chairman of
                              the board and chief  executive  officer  of NL and
                              Kronos  Worldwide;  and  trustee and member of the
                              trust investment committee of the CMRT.





         Name                          Present Principal Occupation
-------------------------     --------------------------------------------------
                           
Richard A. Smith (5)          Vice president of Dixie Rice.

Gregory M. Swalwell           Vice president and controller   of  Contran, Dixie
                              Holding,  National,  NOA, Southwest,  Tremont LLC,
                              Valhi and VGI; vice  president,  finance and chief
                              financial  officer of Kronos Worldwide and NL; and
                              vice  president of Dixie Rice,  Southwest  and the
                              Company.

J. Walter Tucker, Jr. (6)     President,  treasurer  and a  director of Tucker &
                              Branham,  Inc., a mortgage banking,  insurance and
                              real estate company; vice chairman of the board of
                              Keystone; a director of Valhi; and a member of the
                              trust investment committee of the CMRT.

Steven L. Watson              Director and president of Contran,  Dixie Holding,
                              Dixie  Rice,  National,  NOA  and  VGI;  director,
                              president  and chief  executive  officer of Valhi;
                              president of Tremont LLC;  director and  executive
                              vice  president  of  Southwest;   director,   vice
                              president   and   secretary  of  the   Foundation;
                              president of Tremont LLC; and a director of CompX,
                              Keystone, Kronos Worldwide, NL and the Company.

----------

(1)  The  principal  business  address  for  Dr.  Barry  is  Southern  Methodist
     University, Perkins Administration Bldg. #224, Dallas, Texas 75275.

(2)  The  principal  business  address for Mr.  Edelcup is 17395 North Bay Road,
     Suite 103, Sunny Isles Beach, Florida 33160.

(3)  The principal business address for Mr. McCollam is 402 Canal Street, Houma,
     Louisiana 70360.

(4)  The principal business address for Mr. McIlroy is 25 Highland Park Village,
     Suite 100-341, Dallas, Texas 75225.

(5)  The principal business address for Messrs.  Mire and Smith is 600 Pasquiere
     Street, Gueydan, Louisiana 70542-0010.

(6)  The principal  business address for Mr. Tucker is 400 E. Central Boulevard,
     Orlando, Florida 32801.




                                   SCHEDULE C

     Schedule C is hereby amended and restated as follows:

     Based upon ownership filings with the Securities and Exchange Commission or
upon information provided by the persons listed on Schedule B to this Statement,
such persons may be deemed to personally  beneficially own shares  ("Shares") of
the common stock, par value $0.01 per share, of Titanium Metals  Corporation,  a
Delaware corporation, as outlined below.



                                          Shares         Options
          Name                             Held           Held (1)      Total
---------------------------------        --------      -----------   -----------
                                                            
Eugene K. Anderson                           -0-           -0-           -0-

Thomas E. Barry                              -0-           -0-           -0-

Norman S. Edelcup                            -0-           -0-           -0-

Lisa Simmons Epstein                         -0-           -0-           -0-

Robert D. Graham                             -0-           -0-           -0-

J. Mark Hollingsworth                        -0-           -0-           -0-

Keith A. Johnson                             200           -0-           200

William J. Lindquist                         -0-           -0-           -0-

A. Andrew R. Louis                           -0-           -0-           -0-

Kelly D. Luttmer                              10           -0-            10

Andrew McCollam, Jr.                         -0-           -0-           -0-

W. Hayden McIlroy (2)                         40           -0-            40

Harold M. Mire                               -0-           -0-           -0-

Bobby D. O'Brien                             -0-           -0-           -0-

Glenn R. Simmons                           1,300         1,000         2,300

Harold C. Simmons (3)                    214,240           -0-       214,240

Richard A. Smith                             -0-           -0-           -0-

Gregory M. Swalwell                          -0-           -0-           -0-

J. Walter Tucker, Jr.                        -0-           -0-           -0-

Steven L. Watson                           1,550         1,500         3,050

----------


(1)  Represents Shares issuable pursuant to the exercise of stock options within
     60 days of the date of this Statement.

(2)  Comprises 40 Shares Mr. McIlroy has the right to receive upon conversion of
     300  6  5/8%  Convertible   Preferred   Securities,   Beneficial  Unsecured
     Convertible  Securities of the TIMET Capital Trust 1 ("BUCS") that he holds
     directly.  Mr. McIlroy  purchased these BUCS on the open market on June 10,
     2004 for  $40.50  per BUC for an  aggregate  purchase  price of  $12,185.00
     (which aggregate amount includes commissions and fees).

(3)  Comprises  Shares Harold C. Simmons' spouse is entitled to receive upon the
     conversion of 1,600,000 BUCS that she holds directly. Excludes other Shares
     of which Mr. Simmons may be deemed to possess indirect beneficial ownership
     as  described  in Item  5(a)  of  this  Statement.  Mr.  Simmons  disclaims
     beneficial ownership of all Shares.




                                  Exhibit Index
            
Exhibit 1      Agreement  and  Plan  of  Merger  dated  November  4,  2002 among
               Valhi, Inc., Valhi Acquisition Corp. and Tremont Corporation,  as
               amended   (incorporated   by  reference  to  Appendix  A  to  the
               Registration Statement on Form S-4 (Reg. No. 333-101244) filed by
               Valhi,  Inc.  with the  Securities  and  Exchange  Commission  on
               November 15, 2002).

Exhibit 2      Agreement and Plan of Merger dated as of  November 4, 2002  among
               Valhi,  Inc.,  Tremont Group, Inc. and Valhi Acquisition Corp. II
               (incorporated  by  reference  to  Exhibit  10.3 to the  Quarterly
               Report  on Form  10-Q  of  Valhi,  Inc.  for  the  quarter  ended
               September 30, 2002).

Exhibit 3      Schedule  TO dated as of May  5, 2003 filed by  Valhi,  Inc. with
               the Securities and Exchange Commission (incorporated by reference
               to the  Schedule TO dated as of May 5, 2003 filed by Valhi,  Inc.
               with the Securities and Exchange Commission).

Exhibit 4      Amendment  No. 1 to Schedule TO dated as of May 16, 2003 filed by
               Valhi,   Inc.  with  the  Securities   and  Exchange   Commission
               (incorporated  by reference to Amendment No. 1 to the Schedule TO
               dated as of May 16, 2003 filed by Valhi, Inc. with the Securities
               and Exchange Commission).

Exhibit 5      Amendment  No. 2 to Schedule TO dated as of May 23, 2003 filed by
               Valhi,   Inc.  with  the  Securities   and  Exchange   Commission
               (incorporated  by reference to Amendment No. 2 to the Schedule TO
               dated as of May 23, 2003 filed by Valhi, Inc. with the Securities
               and Exchange Commission).

Exhibit 6      Amendment  No. 3 to Schedule TO dated as of June 3, 2003 filed by
               Valhi,   Inc.  with  the  Securities   and  Exchange   Commission
               (incorporated  by reference to Amendment No. 3 to the Schedule TO
               dated as of June 3, 2003 filed by Valhi, Inc. with the Securities
               and Exchange Commission).

Exhibit 7*     Power of  Attorney  dated  July 26, 2004 executed  by  Annette C.
               Simmons.

-----------
*  Filed herewith.