Tex. Est. Code § 113.1541
On the death of the last surviving party to an account that has a convenience signer designated as provided by Section 113.106, the convenience signer does not have a right of survivorship in the account and the estate of the last surviving party owns the account unless the convenience signer is also designated as a P.O.D. payee or as a beneficiary.
Added by Acts 2011, 82nd Leg., R.S., Ch. 91 (S.B. 1303), Sec. 8.006(b), eff. January 1, 2014.