What about W.O. Coleman's Regiment Missouri Calvary? I don't know if it was ever formally recognized as a Confederate Regiment
but Company E, had several Lawrence County Arkansas men (including its Captain). Company E, Coleman's Calvary, was the Confederate forced that was engaged by the 5th Illnois Calvary west of Smithville Arkansas on June 17 1862 (mistakenly reported and often published as June 18, 1862).