(a) The county clerk and the sheriff of the county shall draw the names of the prospective jurors for a county court from the jury wheel in the presence and under the direction of the county judge. The district clerk and the sheriff or any constable of the county shall draw the names of the prospective jurors for a justice court, county court at law, or district court from the jury wheel in the presence and under the direction of the district judge.
(b) The county or district clerk and the sheriff or constable shall draw the names of prospective jurors from the jury wheel after the wheel has been turned to thoroughly mix the jury wheel cards and shall draw the names one by one if so directed by the judge in whose presence the names are drawn. The names of prospective jurors shall be drawn at least 10 days before the first day of the term of court.

(c) The county or district clerk and the sheriff or constable shall draw as many jury lists as are required for the term of court. They shall record the names that are drawn on as many lists as the judge in whose presence the names are drawn considers necessary to ensure an adequate number of jurors for the term.
(d) A deputy may represent the county or district clerk or the sheriff or constable at the drawing. Other persons may be present only as provided by this subchapter.
(e) An official attending the drawing may not divulge to anyone the name of a person that is drawn as a prospective juror.
(f) The names of additional prospective jurors may be drawn as needed in the manner provided by this section if it appears at any time during the term of court that the jury lists already drawn will be exhausted before the term expires.