Mount Calm is a city in Hill County, Texas, United States. The population was 282 at the 2020 census. Mount Calm is located in southern Hill …Mount Calm is a city in Hill County, Texas, United States. The population was 282 at the 2020 census. Mount Calm is located in southern Hill County in Central Texas. Texas State Highway 31 crosses the western corner of the town, leading northeast 8 miles to Hubbard and southwest 21 miles to Waco. Hillsboro, the Hill county seat, is 26 miles to the northwest via local roads.