♦Bonham is a city in Fannin County, Texas, United States. The population was 9,990 at the 2000 census. It is the county seat of Fannin County. James Bonham sought the aid of James Fannin at the Battle of the Alamo. Bonham apartments for rent comparison page shows most up to date rent information on Bonham apartments and houses. Rent information is obtained from multiple rental sources but we cannot guarantee their accuracy.