Indiana Code Title 34. Civil Law and Procedure § 34-55-2-11

Sec. 11. When any court renders judgment against two (2) or more persons, any of whom are sureties for any other or others in the contract on which the judgment is founded, there shall be no stay of execution on the judgment if the sureties object at the time of rendering the judgment.  It shall be so ordered by the court unless surety for the stay of execution will undertake specially to pay the judgment, in case the amount of the judgment cannot be levied of the principal defendant.