AlleganyThrills.com . . . Allegany, NY founded in 1806... Population as of 2000: 8,230.Allegany's main attraction in the early days were the forest, for the hills, which rise to a height of 2,500 feet... The most famous occasion in the county's history was the discovery of a great oil pool beneath the surface of the Allegany... The humble potato is one of the main productions next to milk and hay.