I don't think this is the unit you're looking for, but I'll post the info anyway.

Captain Tommy J. Shannon (Grayson Co, Tex) commanded Company B 22 Texas Calvary (Stevens Regiment). His step-brother was William Colville Randolph (my g-g-grandfather) who was mustered in as a Sgt at Fort Washita, I.T., and later promoted to 1st Lt, Co B.

I think their largest engagement was Pea Ridge.