Texas Government Code - GOV'T § 401.081. Succession of Governor-Elect and Lieutenant Governor-Elect

(1) the governor-elect and the lieutenant governor-elect die or are permanently incapacitated to take their oaths of office at the time the legislature canvasses the election returns for governor and lieutenant governor;  and

(2) the legislature finds that the governor-elect and the lieutenant governor-elect are not able to take the oath of office and to fulfill the duties of office.