Texas Finance Code - FIN § 65.102. Account Held by More Than One Person

(a) If a savings account is opened in an association or a federal savings and loan association doing business in this state in the names of more than one person, whether the persons are minors or adults, and the savings contract specifies that money in the account may be paid to or on the order of any one of the account holders, the association may pay the money in the account to or on the order of any one of the account holders before or after the death of any of the other account holders. An association has no further liability for a payment made under this subsection.

(b) If a savings contract specifies that a check, receipt, or withdrawal order requires the signature of more than one of the account holders or of more than one of the surviving account holders after the death of an account holder, the association shall pay the money in the account according to the terms of the savings contract.

(c) If a savings account holder gives written notification to the association not to permit withdrawals according to the terms of the savings contract, the association may refuse, without liability, to honor any check, receipt, or withdrawal request on the account pending a determination of the rights of the account holders.