Native Americans fought for both the British and the Patriots. However, most supported the British to enforce the Proclamation of 1763 to restrict European settlement east of the Appalachian Mountains.
Notably the Oneida of the Iroquois Five Nations and the Stockbridge Nation supported the Patriots. The Oneida did not gain any recognition of their contributions and the Stockbridge warriors were decimated in a meaningless battle outside of New York City.
In the Treaty of Paris, the British turned on their Native American Allies and ceded control of all lands east of the Mississippi to the new United States. This set the stage for 20 plus years of continued fighting in the Northwest Territories.
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Calloway, Colin G. The American Revolution in Indian Country: Crisis and Diversity in Native American Communities. Cambridge Studies in North American Indian History. Cambridge ; New York: Cambridge University Press, 1995.
Colden, Cadwallader, John M. Dixon, and Karim M. Tiro. The History of the Five Indian Nations Depending on the Province of New-York in America: A Critical Edition. Ithaca ; London: Cornell University Press, 2017.
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Glatthaar, Joseph T., and James Kirby Martin. Forgotten Allies: The Oneida Indians and the American Revolution. 1st ed. New York: Hill and Wang, 2006.
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———. The Texture of Contact: European and Indian Settler Communities on the Frontiers of Iroquoia, 1667-1783. Lincoln: University of Nebraska Press, 2009.
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Witgen, Michael. Infinity of Nations: How the Native New World Shaped Early North America. Place of publication not identified: Univ Of Pennsylvania Pr, 2013.
Native American Revolutions: Introduction Age of Revolutions Web Site which includes a comprehensive bibliography.