Tex. Estates Code § 113.252

(a) A multiple-party account is not effective against:

(1) an estate of a deceased party to transfer to a survivor:

(A) amounts equal to the amounts of estate taxes and expenses charged under Subchapter A, Chapter 124, to the deceased party, P.O.D. payee, or beneficiary of the account; or

(B) if other assets of the estate are insufficient, amounts needed to pay debts, other taxes, and expenses of administration, including statutory allowances to the surviving spouse and minor children; or

(2) the claim of a secured creditor who has a lien on the account.

(b) A party, P.O.D. payee, or beneficiary who receives payment from a multiple-party account or causes a payment to be made to another person from a multiple-party account after the death of a deceased party is liable to account to the deceased party's personal representative for amounts the deceased party owned beneficially immediately before the party's death to the extent necessary to discharge the claims, expenses, and charges described by Subsection (a). The party, P.O.D. payee, or beneficiary is not liable in an amount greater than the amount the party, P.O.D. payee, or beneficiary received or caused to be paid to another person from the multiple-party account after the deceased party's death.

(c) Any proceeding by the personal representative of a deceased party to assert liability under Subsection (b):

(1) may be commenced only if the personal representative receives a written demand by a surviving spouse, a creditor, or a person acting on behalf of a minor child of the deceased party; and

(2) must be commenced on or before the second anniversary of the death of the deceased party.

(d) Amounts recovered by the personal representative under this section must be administered as part of the decedent's estate.