Tennessee Code Title 54. Highways, Bridges and Ferries § 54-12-130

(a) In case any such owner, lienholder or encumbrancer is a nonresident of the state, or the person's name or residence cannot be ascertained after diligent inquiry, and these facts are made to appear by affidavit filed, then publication shall be made for the owner, lienholder or encumbrancer for two (2) consecutive weeks in some newspaper of the county where the proceedings are pending, notifying the party or parties of the pendency and prayer of the petition, and to appear at the time set for the hearing on the petition, the last publication to be at least ten (10) days before the time set for hearing.

(b) Proof of publication may be made as provided by law in chancery cases, and those who are actual owners, lienholders or encumbrancers may be made to appear to the clerk by the affidavit of any person acquainted with the facts or by the averments of the petition if sworn.