Tennessee Code Title 30. Administration of Estates § 30-2-317

(a) All claims or demands against the estate of any deceased person shall be divided into the following classifications, which shall have priority in the order shown:

(b) All demands against the estate shall be paid by the personal representative in the order in which they are classed, and no demand of one class shall be paid until the claims of all prior classes are satisfied or provided for; and if there are not sufficient assets to pay the whole of any one class, the claims in that class shall be paid pro rata.

(c) Debts due upon bills single, bonds, bills of exchange and promissory notes, whether with or without seal, and upon settled and liquidated accounts signed by the debtor, are of equal dignity, unless otherwise provided, and are to be paid accordingly.

(d) The personal representative shall hold aside sufficient funds or other assets to pay each contested or unmatured claim (or the proper ratable portion thereof, as the case may be) with interest (if the claim be one bearing interest), until it is determined whether or not the claim is to be paid, or until an unmatured claim has reached maturity, also sufficient assets to meet the expenses of pending litigation and costs of court and any unpaid taxes.