Tenn. Code Ann. § 71-3-123: Civil action against deserting spouse or parent

(a) All payments made by the department to such spouse or dependent child shall be recoverable against the deserting spouse or parents by the state as a debt due to the state, and such recovered payments shall be deposited by the state treasurer to the credit of the aid and services to needy families with children fund.

(b) In the event the deserting spouse or parent has left the state, then the secretary of state shall be the lawful attorney or agent for such spouse or parent and service of process shall be made by serving a copy of the process on the secretary of state, and such service shall be sufficient service upon the spouse or parent; provided, that notice of such service and a copy of the process are forthwith sent by registered mail by the prosecuting attorney to the last known out-of-state address of the spouse or parent.

(c) The property of the spouse or parent within the state shall be subject to execution for payment of any judgment taken against such spouse or parent.