Departments. Find Us. Address 321 West Main Street Frankfort, KY. Hours MondayFriday: 8: 00AM4: 30PM. Search. Search for: About This Site. This is the official site on Franklin County Kentucky. Find Us. Address 321 West Main Street Frankfort, KY. Hours MondayFriday: 8: 00AM4: 30PM. Call Us (502) (502) fax