That's funny the way she words the sentence about the Rock Academy. She's mentions moving near Poteau and then says she went to Wapanucka which is just a few miles northwest of Boggy Depot. Wapanucka Academy is the only place I've heard called the "Rock Academy"... as it was a large stone structure.
It is three miles west of the Chickasaw-Choctaw boundary line. Capt G.W. Grayson, 1st Creek Mtd Rifles, says there were Creek refugees living there and he was hospitalized there when he had small pox. Grayson mentions the site in his memiors "A Creek Warrior for the Confederacy".
There is an article in the Chronicles on Wapanucka at... http://digital.library.okstate.edu/Chronicles/v012/v012p402.html
Clearly the name "Rock Academy" far pre-dates Muriel Wright's belief that white settlers gave it that nickname.
I curious about whether Cochran's Academy was also called the "Rock Academy". I have not heard it referred to as such but I know almost nothing about it. It seems some journal or report of someone on the Ft Smith-Ft Arbuckle road would mention the school. There is a letter to the Clarksville Standard describing the march from Ft Arbuckle to near Honey Springs which mentions Cochran's ranch but nothing about a school.