Tex. Election Code § 4.002: AUTHORITY RESPONSIBLE FOR GIVING NOTICE.

Except as otherwise provided by law, the following authority shall give notice of an election:

(1) the county judge of each county wholly or partly in the territory covered by the election, for an election ordered by the governor;

(2) the presiding officer of the governing body of a political subdivision, for an election ordered by the presiding officer or the governing body; and

(3) the authority ordering the election, for an election ordered by any other authority.

Acts 1985, 69th Leg., ch. 211, Sec. 1, eff. Jan. 1, 1986.