Frisco as "Old Stonewall" comes from this article:
"Reminiscences of Old Stonewall"
See the reference to "Cochrane's Ranch" and Note 15 at the bottom of page 8 in:
"Lieutenant Averell's Ride, 1861"
This article has very little information but does reference some sources that may shed light on the academies.
Education of the Chickasaws 1856-1907
And last but not least!
Search for "Cochran" in the below to find the letter written from Butler Creek (near Honey Springs) about the march (via Cochran's) from Ft Arbuckle to Camp Butler. I am told these letters to the Standard were written by Col Charles DeMorse (who owned the paper).
STANDARD [CLARKSVILLE, TX], May 30, 1863, p. 2, c. 1-2