Rocky Hill Volunteer Fire Department Po Box 98 Rocky Hill, KY 42163 Phone : (270) 749-5000 Post Office - Rocky Hill 1793 Rocky Hill Rd Rocky Hill, KY 42163 Phone : (270) 749-3213 Nearest cities for Rocky Hill, KY Cave City, KY(13.1)   Chicago, IL(352.9)   Glasgow, KY(11.0)   Oakland, KY(12.2)   Park City, KY(7.4)   Smiths Grove, KY(9.8)