Texas Local Government Code - LOC GOV'T § 86.003. New Bond; Removal

(a) If any of the sureties of a constable dies, permanently moves from this state, becomes insolvent, or is released from liability as provided by law or if the commissioners court determines that the bond of the constable is insufficient, the court shall issue a citation that requires the constable to appear at a time set in the citation, after the 10th day but on or before the 30th day after the date the citation is issued, in order to execute a new bond with good and sufficient surety.

(b) If the constable neglects or refuses to appear to execute the bond at the designated time, the constable shall cease to perform the duties of the office and shall be removed from office by the judge of the district court in the manner provided by law for the removal of county officers.