Tex. Water Code § 62.061

(a) The navigation board shall include the members of the commissioners court and the mayor and aldermen or commissioners of the included city or cities acting under special charter granted by the legislature. If there is only one city or part of one city acting under special charter granted by the legislature inside the proposed district and if the charter of the city at any time authorizes the city council or city board of commissioners to be greater in number than the members of the commissioners court, the number of aldermen or city commissioners who are entitled to sit and vote as members of the board along with the mayor will be limited to that number which equals the number of members of the commissioners court. The aldermen or city commissioners entitled to act as members of the board shall be determined by the members of the city council or city board of commissioners among themselves.

(b) The county judge, and in his absence the mayor, shall preside at meetings of the board and each member of the board, including the presiding officer, is entitled to a vote.

(c) A majority of the members of the board constitute a quorum, and action of a majority of the quorum shall control.

(d) The county clerk shall enter the proceedings of the board in a book kept for that purpose, and the book shall be available for public inspection.