Tenn. Code Ann. § 71-6-114: Jurisdiction and venue

(a) The circuit, general sessions, and chancery courts have jurisdiction of proceedings arising under this part. Probate courts in counties having a population of not less than seven hundred seventy-five thousand (775,000) according to the 1980 federal census or any subsequent federal census shall have concurrent jurisdiction with the circuit and chancery courts.

(b) A proceeding under this part may be commenced in the county where the adult resides or is physically present.