There is a webpage titled "1880 Cherokee Census" that has a Flying family listed. J.P., 32; Jennie, 23; E.N., 9; E.A., 6; Davis, 3; and Emma, 1m.
I am not related to these people, I'm just passing on this information. The link for the site is listed below.
Joyce

http://www.accessgenealogy.com/native/cherokeecensus.php