Tex. R. App. P. 7.1

As amended through October 12, 2021
Rule 7.1 - Parties Who Are Not Public Officers
(a)Death of a Party.
(1) Civil Cases. If a party to a civil case dies after the trial court renders judgment but before the case has been finally disposed of on appeal, the appeal may be perfected, and the appellate court will proceed to adjudicate the appeal as if all parties were alive. The appellate court's judgment will have the same force and effect as if rendered when all parties were living. The decedent party's name may be used on all papers.
(2) Criminal Cases. If the appellant in a criminal case dies after an appeal is perfected but before the appellate court issues the mandate, the appeal will be permanently abated.
(b)SubstitutionforOtherReasons. If substitution of a party in the appellate court is necessary for a reason other than death, the appellate court may order substitution on any party's motion at any time.

Tex. R. App. P. 7.1