Ken,
Great find,some what differant than O.H.S. but added to it--so I'll just add some mills
found in the Cherokee Nation from O.H.S:
Laws
Moved by water,shall be entitled to 1/8 part of all corn,wheat,or other grain and no more
Moved by Steam or wind power entitled to 1/6 part of all corn,wheat,or other grain and no more
Moved by horse or other animal power,1/4 part of all corn,wheat,or other grain and no more
Owner's cannot grind his own grain to the exclusion of other instead,he had to grind in due time that grain that was brought to the mill in order it was brought- must be clearly marked-
fines--$50.00 etc---

------General mill information no other known-- data ?

Coodey mill--between Muskogee and Fort Gibson
Bayou Menard near crossing of old stage road between Ft. Gibson and Tahlequah-unknown water suppy-stream/ creek
Vol. 20 no.3 page 236--owner--Daniel Henry Rucker married Flora McDonald Coodey dau of
Jane Ross sister of Chief John Ross.
http://digital.library.okstate.edu/chronicles/v020/v020p236.html

Wilkie's mill-- about two miles south of Westville

Thompson's mill-- on Tyner Creek west of Watts

Wright's mill-- on the Barron fork creek

Hiderbrands mill also sometimes called Beck's mill
Used by both Confederdate and Union in the war

Spavinaw mill-- near Flint
O.H.S. Battle of Barren creek-Dec.18,1863
-Spilman moved to complete his secondary objective,that of reinforcing Major Foreman operating the (Old-Dutch)Rhea's mill {Ark}Captain Spilman moved his column directly east
to make contact with command of Major Foreman. This action at Barren Fork,Cherokee Nation ,was a success for the union forces,helped halt the Confederate activity north of the
Arkansas for the winter of 1863-64.Col Stand Watie moved into winter camp near Spavinaw
creek in the Cherokee Nation. Shortly afterward ,he gathered several southern Cherokee families and moved into the Choctaw Nation ,south of the Arkansas river for remainer of the winter.O.H.S.17 PG 456

Old Dutch Rhea's mill--southeast of Prairie Grove,Arkansas
It looks likely that a man named Towers built-In 1845 and sold to Hiderbrand that mill with aid of skills millwrights & mechanic's from the Dutch mills/Ark.
Major Foreman of the third Indian Home Guard Regiment,who had one battalion there operating the[Rhea's mill}Dec 1863 --Vol.48 pg.76 no. 1, 1970