Tenn. Code Ann. § 6-18-113

Should the property and funds be more than sufficient to meet the city's obligations, the surplus shall be paid into the treasury of the county to become a part of its general fund. Should the property and funds be insufficient to meet all the city's current obligations, the county legislative body is hereby authorized to levy and collect taxes upon the property within the boundaries of the former city and to pay same over to the trustees for the purpose of meeting such current deficit. The trustees shall terminate the affairs of the city as soon as possible, but in no event shall the trusteeship continue for more than thirty-six (36) months. Any matters, including obligations maturing after thirty-six (36) months, not disposed of within the period designated in this section shall become the responsibility of the county legislative body of the county wherein the city was located.