Texas Election Code - ELEC § 171.003. Filling Vacancy

(a) The state executive committee shall fill by appointment any vacancy on the committee, including a vacancy in the office of chair or vice chair.

(b) A majority of the committee's membership constitutes a quorum for the purpose of filling a vacancy.  To be elected, a person must receive a favorable vote of a majority of the members voting.

(c) To be eligible to serve as a replacement to fill a vacancy in a membership representing a senatorial or congressional district, a person must reside in the district.