Sponsored Topics. Waverly is a city in Humphreys County, Tennessee, United States. The population was 4,028 at the 2000 census. It is the county seat of Humphreys County. Waverly is located at 36°5′9″N 87°47′13″W / 36.08583°N 87.78694°W / 36.08583; -87.78694 (36.085847, -87.786917).