Government Code §53.105

(a) If the judge of a county court at law of Tarrant County does not appoint a person to serve as bailiff under Section 53.102 , the sheriff of Tarrant County shall assign a bailiff for the court on written request of the judge. (b) A bailiff assigned by the sheriff serves at the pleasure of the court to which the bailiff is assigned and shall perform the duties required by the judge of the court. (c) On request of the judge of a county court at law, the sheriff shall immediately assign a bailiff to the court served by the judge to fill a temporary absence of the appointed or assigned bailiff.