If any party responsible for costs fails or refuses to pay the same within ten days after demand for payment, the clerk or justice of the peace may make certified copy of the bill of costs then due, and place the same in the hands of the sheriff or constable for collection. All taxes imposed on law proceedings shall be included in the bill of costs. Such certified bill of costs shall have the force and effect of an execution. The removal of a case by appeal shall not prevent the issuance of an execution for costs.
Tex. R. Civ. P. 129