Wichita Anadarko Indian woman, Oklahoma. Photo: before 1912. - The Wichita people are a confederation of Plains Indians. Historically they spoke the Wichita language, a Caddoan language. They are indigenous to Kansas, Oklahoma, and Texas. Today the four Wichita tribes, the Waco, Taovaya, Tawakoni, and Wichita proper, are federally recognized with the Kichai people as the Wichita and Affiliated Tribes (Wichita, Keechi, Waco and Tawakonie).