Texas constitution
Article 9: counties
Section 2

The Legislature shall pass laws regulating the manner of removing county seats, but no county seat situated within five miles of the geographical centre of the county shall be removed, except by a vote of two-thirds of all the voters voting on the subject. A majority of such voters, however, voting at such election, may remove a county seat from a point more than five miles from the geographical centre of the county to a point within five miles of such centre, in either case the centre to be determined by a certificate from the Commissioner of the General Land Office.