Texas Local Government Code - LOC GOV'T § 84.003. Procedure for Appointment

(a) The district judges shall appoint the county auditor at a special meeting held for that purpose. If a majority of the judges cannot agree on the selection of a person as county auditor, one of the judges shall certify that fact to the governor, who shall appoint another district judge to act and vote with the district judges to select the county auditor.

(b) The clerk of the district court shall record the judges' action in the minutes of the court and certify it to the commissioners court. The commissioners court shall record in its minutes the judges' action and an order directing the payment of the auditor's salary.