TEXAS RULES OF CIVIL PROCEDURE / RULE 151
TRCP 151: Death of plaintiff
Proceedings after a plaintiff dies, including appearance, scire facias and possible dismissal.
Rule 151, illustrated

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If the plaintiff dies, the heirs, or the administrator or executor of such decedent may appear and upon suggestion of such death being entered of record in open court, may be made plaintiff, and the suit shall proceed in his or their name. If no such appearance and suggestion be made within a reasonable time after the death of the plaintiff, the clerk upon the application of defendant, his agent or attorney, shall issue a scire facias for the heirs or the administrator or executor of such decedent, requiring him to appear and prosecute such suit. After service of such scire facias, should such heir or administrator or executor fail to enter appearance within the time provided, the defendant may have the suit dismissed.