Tex. Local Government Code § 73.002: VOTE REQUIRED FOR LOCATION.

The location that receives the majority of votes cast in the election is the county seat. However, a county seat first established in a newly organized county may not be located more than five miles from the geographic center of the county unless at least two-thirds of the voters voting in the election on the subject vote for the site.

Acts 1987, 70th Leg., ch. 149, Sec. 1, eff. Sept. 1, 1987.