From Wikipedia, a history of the Buffalo Chicken Wing:
Buffalo wings were first prepared at the Anchor Bar on Main Street, near the corner of North Street, Buffalo, on October 3, 1964. Teressa Bellissimo, co-owner of the Anchor Bar with her husband Frank, had the idea of deep frying chicken wings and tossing them in Frank's Red Hot sauce for her son Dominic and his friends. One evening, on a spur of the moment, Teressa presented her son with a deep-fried and sauced creation, and they were an instant hit. At the time the recipe was created, chicken wings were typically thrown away or reserved for making stock.
In Buffalo, the best-known places for authentic wings are the Anchor Bar and at Duff's, outside the city limit on Sheridan Drive in Amherst. Wings can also be found in most pizza restaurants and corner taverns throughout the region and in neighboring Southern Ontario. The Anchor Bar serves more than 36,000 pounds of wings per month. Locals do not call them Buffalo wings and consider such usage to be uninformed. Instead, Buffalonians call them "chicken wings" or just plain "wings."