Why is it called buffalo sauce in America?

In the realm of American cuisine, the term "buffalo sauce" often evokes a spicy, vinegar-based condiment that pairs well with chicken wings. But what lies behind the moniker? One might wonder, why is it specifically called "buffalo sauce" in the United States? Could it be a nod to the rich buffalo culture of North America? Or perhaps a reference to the city of Buffalo, New York, where this condiment originated? Is there a deeper historical or cultural context to this nomenclature? Understanding the origins and evolution of this sauce's name could provide a fascinating glimpse into the tapestry of American food culture.