Tex. Special District Local Laws Code § 1084.056: BOARD VACANCY.

(a) If a vacancy occurs in the office of elected director, the remaining directors by majority vote shall appoint a director for the unexpired term.

(b) If the number of directors is reduced to fewer than four for any reason, the remaining directors shall immediately call a special election to fill the vacancies of the elected positions. If the remaining directors do not call the election, a district court, on application of a district voter or taxpayer, may order the directors to hold the election.

Added by Acts 2009, 81st Leg., R.S., Ch. 1139 (H.B. 2619), Sec. 1.01, eff. April 1, 2011.