Texas Health and Safety Code - HEALTH & SAFETY § 265.032. Appointment of Board

(a) The board consists of seven directors.  A director may serve successive terms.

(b) The commissioners court shall appoint four directors in its resolution creating the board, and the municipal governing body shall appoint three directors in its resolution creating the board.

(c) Directors are appointed for staggered terms of two years.  However, in making the initial appointments to the board the commissioners court shall designate two of its appointees to serve two-year terms and two to serve one-year terms, and the governing body shall designate two of its appointees to serve two-year terms and one to serve a one-year term.

(d) The entity that makes an original appointment shall appoint a successor director on the expiration of a director's term or to fill, for the unexpired part of a term, a vacancy caused by death or resignation.