When costs have been adjudged against a party and are not paid, the clerk or justice of the court in which the suit was determined may issue execution, accompanied by an itemized bill of costs, against such party to be levied and collected as in other cases; and said officer, on demand of any party to whom any such costs are due, shall issue execution for costs at once. This rule shall not apply to executors, administrators or guardians in cases where costs are adjudged against the estate of a deceased person or of a ward. No execution shall issue in any case for costs until after judgment rendered therefor by the court.
Tex. R. Civ. P. 149