Texas Civil Practice and Remedies Code - CIV PRAC & REM § 16.062. Effect of Death

(a) The death of a person against whom or in whose favor there may be a cause of action suspends the running of an applicable statute of limitations for 12 months after the death.

(b) If an executor or administrator of a decedent's estate qualifies before the expiration of the period provided by this section, the statute of limitations begins to run at the time of the qualification.