Texas Special District Local Laws Code - SDLL § 8150.053. Vacancies

(a) The board shall notify the governing body of the city in writing when a vacancy occurs on the board.

(b) The governing body of the city shall appoint a person to fill the vacancy for the remainder of the unexpired term.

(c) If the governing body of the city does not fill a vacancy on the board before the 91st day after receipt of written notice of a vacancy, the remaining directors shall appoint a person to fill the vacancy, if a majority of the directors remain in office. If less than a majority of the directors remain in office, the vacancy shall be filled as provided by Section 49.105(c), Water Code.