Afton is a town in Chenango County, New York, United States. The population was 2,851 at the 2010 census. Afton is situated in the southeast corner of the county and lies wholly within the original township of Clinton. It was formed from the town of Bainbridge on November 18, 1857, and derives its name from Afton Water, a small river in the parish of New Cumnock, Ayrshire, Scotland, immortalized by the poet Robert Burns. It is bounded on the north by Bainbridge and Coventry, on the east by Delaware County, and on the west and south by Broome County.The town of Afton contains a village, also called Afton. The town is at the southeast corner of the county and is northeast of Binghamton.