“Not found online” and “never permitted” are different problems. Plenty of real files sit under a former owner, a subdivision name, or an old rural route. Tennessee started scanning old septic records county by county around 2017, and not every older file made it in complete. Ask TDEC to look with the clues you have.
Age matters. A house from the 1960s is a harder search because its system may predate modern paperwork or may have been replaced since. Some older Maury homes have a file; many have only a thin one.
If the file remains missing, hire a qualified septic inspector, pumper, or installer to locate the tank and field on the ground. They'll trace the sewer line out of the house, probe, or use a locator. Keep trucks off the likely field, never climb into a tank, and call 811 before any digging near buried utilities.