Farnham is a village located in the Town of Brant, Erie County, New York, USA. The population was 322 at the 2000 census. The village is named after Leroy Farnham, a local landowner and merchant. Farnham apartments for rent comparison page shows most up to date rent information on Farnham apartments and houses. Rent information is obtained from multiple rental sources but we cannot guarantee their accuracy.