Hearne is a city in Robertson County, Texas, United States. The population was 4,690 at the 2000 census. Hearne was subject to heavy flooding on 13 May 2004 when 17 inches of rain fell in an hour. Hearne apartments for rent comparison page shows most up to date rent information on Hearne apartments and houses. Rent information is obtained from multiple rental sources but we cannot guarantee their accuracy.