Seneca-Cayuga Tribe of Oklahoma Tags: Ethnic Group.The Seneca–Cayuga Tribe of Oklahoma is a federally recognized tribe of Seneca and Cayuga people based in Oklahoma United States. They have a tribal jurisdictional area in the northeast corner of Oklahoma are headquartered in Grove Oklahoma. language English language related Iroquoian languages, Wyandot people, Iroquois religion Christianity, Handsome Lake, Longhouse Religion total population 5059 Learn more... Loading...