Tenn. Code § 69-5-923
Where a district lies in more than one (1) county, the petition for issuance of refunding bonds shall be filed with the county legislative body of the county where the greater part of the lands of the district are situated, which the legislative body shall have full jurisdiction for the purposes of §§ 69-5-920 - 69-5-927. The notice provided for in § 69-5-922 shall, in such case, be published in one (1) newspaper published and having general circulation in each county where lands of the district are situated, and also by the posting of a copy of such notice in a conspicuous place at each court house in each such county. In the event there should be no newspaper published and of general circulation in any such county, then the aforementioned notice shall be given by posting not less than five (5) copies of the notice in five (5) public places in such county, and by posting at the court house as provided in this section.
T.C.A. § 69-5-923