Texas Special District Local Laws Code - SDLL § 7807.054. Board Vacancy

(a) Except as provided by Subsection (b) or (c), a vacancy on the board shall be filled by appointment to the unexpired term by the governing body that appointed the director in whose position a vacancy exists.

(b) If under Subsection (a) the governing body does not fill a vacancy within 60 days after the date the position became vacant, the unexpired term of the position shall be filled by appointment by the remaining directors. The Commissioners Court of Dallas County, after consulting with the Cities of Carrollton and Farmers Branch, shall appoint directors to fill all vacancies on the board when the number of directors is fewer than four.

(c) If any director ceases to possess the qualifications prescribed by Section 7807.052, the remaining directors shall declare the person's office vacant and appoint a successor. (Acts 64th Leg., R.S., Ch. 201, Sec. 3 (part).)