Mo. Rev. Stat. § 433.070: Surety entitled to judgment against principal on motion, when.

In all cases where judgment is given in any court, whether of record or not, upon any bond, bill or note, for the payment of money or delivery of property, against the principal debtor and any surety therein, and such surety shall pay the judgment or any part thereof, he shall be entitled, upon motion, to a judgment in the same court against the principal debtor for the amount he has paid, with ten percent interest thereon from the time of payment, together with costs.