Tex. Election Code § 85.062

(a) Except as provided by Subsection (d) or (e), one or more early voting polling places other than the main early voting polling place may be established by:

(1) the commissioners court, for an election in which the county clerk is the early voting clerk; or

(2) the governing body of the political subdivision served by the authority ordering the election, for an election in which a person other than the county clerk is the early voting clerk.

(b) A polling place established under this section may be located, subject to Subsection (d), at any place in the territory served by the early voting clerk and may be located inside any building as directed by the authority establishing the branch office. The polling place may not be located in a movable structure in the general election for state and county officers, general primary election, or runoff primary election. Ropes or other suitable objects may be used at the polling place to ensure compliance with Section 62.004. Persons who are not expressly permitted by law to be in a polling place shall be excluded from the polling place to the extent practicable.

(c) In any election, the location of a polling place established under this section shall be fixed at one place for the duration of the period that voting is required to be conducted at the polling place.

(d) In a primary election, the general election for state and county officers, or a special election to fill a vacancy in the legislature or in congress:

(1) the commissioners court of a county with a population of 400,000 or more shall establish one or more early voting polling places other than the main early voting polling place in each state representative district containing territory covered by the election, except that the polling place or places shall be established in the state senatorial or congressional district, as applicable, in a special election to fill a vacancy in the office of state senator or United States representative;

(2) the commissioners court of a county with a population of 120,000 or more but less than 400,000 shall establish one or more early voting polling places other than the main early voting polling place in each commissioners precinct containing territory covered by the election; and

(3) the early voting clerk of a county with a population of 100,000 or more but less than 120,000 shall establish one or more early voting polling places as described by Subdivision (2) in each precinct for which the early voting clerk receives in time to enable compliance with Section 85.067 a written request for that action submitted by at least 15 registered voters of that precinct.

(e) Repealed by Acts 2021, 87th Leg., 2nd C.S., Ch. 1 (S.B. 1), Sec. 10.01(1), eff. December 2, 2021.

(f) In a countywide election, the total number of permanent branch polling places and temporary branch polling places open for voting at the same time in a commissioners precinct may not exceed twice the number of permanent branch and temporary branch polling places open at that time in another commissioners precinct.

(f-1) Notwithstanding any other provision of this section concerning the location of temporary branch polling places, in an election in which countywide polling places are used, the commissioners court of a county shall employ the same methodology it uses to determine the location of countywide polling places to determine the location of temporary branch polling places.

(g) In this subchapter, "temporary branch polling place" means an early voting polling place established under this section.