Lone Star is a city in Morris County, Texas, United States. Its population was 1,581 at the 2010 census. According to the United States Censu…Lone Star is a city in Morris County, Texas, United States. Its population was 1,581 at the 2010 census. According to the United States Census Bureau, the city has a total area of 2.0 square miles, of which 0.50% is covered by water.