According to the ATF database, there are 4 registered FFLs in Flemingsburg, Kentucky.
7327 MT CARMEL RDFLEMINGSBURG, KY, 41041
7314 MOUNT CARMEL RDFLEMINGSBURG, KY, 41041
7278 MOREHEAD ROADFLEMINGSBURG, KY, 41041
2301 MAYSVILLE RDFLEMINGSBURG, KY, 41041