Native peoples were most concerned with their independence from the rule of white settlers.
They chose whichever side they thought would grant that.
One loyalist was Molly Brant, a Mohawk woman who had been the companion of the British head of Indian affairs in the North. It was she who helped convince the Iroquois to fight with the British.
In contrast, Nancy Ward and her Cherokee people supported the patriots. After the Revolution the Cherokees adopted a constitution based on the U.S. Constitution.
As a result, Nancy Ward lost her position on the tribal council, and there were no more “Beloved Women” (honorary women leaders).