`f4vhi120524hcs.txt



Exhibit 99

Additional Information



     The following persons directly hold the following percentages of the

outstanding shares of common stock of the issuer, Valhi, Inc. ("Valhi"):



Valhi Holding Company ("VHC")................................92.6%

TIMET Finance Management Company ("TFMC").....................1.9%

Harold Simmons Foundation, Inc. (the "Foundation")............0.7%

Harold C. Simmons.............................................0.4%

Contran Amended and Restated Deferred Compensation

  Trust ("CDCT")..............................................0.3%

Annette C. Simmons............................................0.2%

The Combined Master Retirement Trust ("CMRT").................0.1%

The Annette Simmons Grandchildren's Trust

  (the "Grandchildren's Trust") ....................less than 0.1%

Contran Corporation ("Contran").....................less than 0.1%



Titanium Metals Corporation ("TIMET") is the sole stockholder of TFMC.



     The following persons directly hold the following percentages of the

outstanding shares of common stock of Kronos Worldwide, Inc. ("Kronos"):



Valhi........................................................50.0%

NL Industries, Inc. ("NL")...................................30.4%

Annette C. Simmons............................................0.8%

Harold C. Simmons.............................................0.7%

TFMC..........................................................0.3%

Contran.............................................less than 0.1%



     The following persons directly hold the following percentages of the

outstanding shares of common stock of TIMET:



VHC..........................................................23.9%

Annette C. Simmons...........................................12.5%

CMRT..........................................................8.8%

Harold C. Simmons.............................................3.2%

Kronos........................................................2.4%

Contran.......................................................2.0%

NL............................................................0.8%

Valhi.........................................................0.5%

Grandchildren's Trust...............................less than 0.1%



NL's percentage ownership of TIMET common stock includes 0.3% directly

held by a subsidiary of NL.



     The following persons directly hold the following percentages of the

outstanding shares of common stock of NL:



Valhi........................................................83.0%

Harold C. Simmons.............................................2.2%

Annette C. Simmons............................................0.9%

TFMC..........................................................0.5%

Kronos..............................................less than 0.1%



     Dixie Rice Agricultural Corporation, Inc. ("Dixie Rice") is the

direct holder of 100% of the outstanding shares of common stock of VHC.

Contran is the holder of 100% of the outstanding shares of common stock

of Dixie Rice.



     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 is 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 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.



     Contran sponsors the CMRT as a trust to permit the collective

investment by master trusts that maintain the assets of certain employee

benefit plans Contran and related companies adopt.  Mr. Simmons is the

sole trustee of the CMRT and a member of the trust investment committee

for the CMRT.  Mr. Simmons is a participant in one or more of the

employee benefit plans that invest through the CMRT.



     U.S. Bank National Association serves as the trustee of the CDCT.

Contran established the CDCT as an irrevocable "rabbi trust" to assist

Contran in meeting certain deferred compensation obligations that it owes

to Harold C. Simmons.  If the CDCT 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, Contran

(i) retains the power to vote the shares of the issuer's common stock

held directly by the CDCT, (ii) retains dispositive power over such

shares and (iii) may be deemed the indirect beneficial owner of such

shares.



     Mr. Harold C. Simmons is chairman of the board of Kronos, Valhi,

TIMET, VHC, Dixie Rice and Contran, and chairman of the board and chief

executive officer of NL.



     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 certain of such entities and (b) Mr. Simmons and certain of such

entities may be deemed to possess indirect beneficial ownership of, and a

pecuniary interest in, shares of common stock directly held by certain of

such other entities. However, Mr. Simmons disclaims such beneficial

ownership of, and such pecuniary interest in, such shares beneficially

owned, directly or indirectly, by any of such entities, except to the

extent of his vested beneficial interest, if any, in the shares the CDCT

and the CMRT hold directly.



     The reporting person understands that NL, a subsidiary of NL and

Kronos directly own 10,814,370 shares, 3,558,600 shares and 1,724,916

shares, respectively, of Valhi common stock as of the date of this

statement. As already stated, Valhi is the direct holder of approximately

83.0% of the outstanding shares of common stock of NL and 50.0% of the

outstanding shares of Kronos common stock.  As a result of Valhi's direct

and indirect ownership of NL, its subsidiary and Kronos, the reporting

person further understands that, pursuant to Delaware law, Valhi treats

the shares of Valhi common stock that NL, its subsidiary and Kronos own

as treasury stock for voting purposes. For the purposes of this

statement, such shares of Valhi common stock that NL, its

subsidiary and Kronos hold directly are not deemed outstanding.



     Annette C. Simmons is the wife of Harold C. Simmons.  Mr. Simmons

may be deemed to share indirect beneficial ownership of the shares that

his wife holds directly.  Mr. Simmons disclaims beneficial ownership of

all securities that his wife holds directly.  Mrs. Simmons disclaims

beneficial ownership of all shares she does not hold directly.



     The Grandchildren's Trust is a trust of which Harold C. Simmons and

his wife are trustees and the beneficiaries are the grandchildren of his

wife.  Mr. Simmons, as co-trustee of this trust, has the power to vote

and direct the disposition of the shares of Valhi common stock the trust

holds. Mr. Simmons disclaims beneficial ownership of any shares that this

trust holds.`