Not o much an actual "Second Corps" as it was an organization of troops that were NOT a part of Hindman's First Corps.

Official Records Volume XIII
SPECIAL ORDERS,
HDQRS. TRANS-MISSISSIPPI DEPARTMENT, Numbers 39.
Little Rock, Ark., September 28, 1862.

11th. The following arrangement of troops not included in the First Army Corps, Army of the West, is announced, viz:
FIRST DIVISION, Brigadier General H. E. McCULLOCH commanding.
First Brigade, Colonel O. Young commanding.-First, Young's regiment Texas Infantry; second Ochiltree's regiment Texas Infantry; third, Hubbard's regiment Texas Infantry; fourth, Burnett's regiment Texas Infantry.
Second Brigade, Colonel H. Randal commanding.-First, Randal's regiment Texas Infantry; second, Clark's regiment Texas Infantry; third, Roberts' regiment Texas Infantry; fourth, Speight's regiment Texas Infantry.
SECOND DIVISION, Brigadier General A. NELSON commanding.
First Brigade, Brigadier-General Nelson commanding.-First, Nelson's regiment Texas Infantry; second, Sweet's regiment Texas Infantry; third, Darnell's regiment Texas Infantry; fourth, Taylor's regiment Texas Infantry; fifth, Gould's battalion Texas Infantry.
Second Brigade, Colonel George Flournoy commanding.-First, Flournoy's regiment Texas Infantry; second, Waterhouse's regiment Texas Infantry; third, Allen's regiment Texas Infantry; fourth, Fitzhugh's regiment Texas Infantry.
GARLAND'S BRIGADE (unattached).
First, Garland's regiment Texas Infantry; second, Wilkes' regiment Texas Infantry; third, Gillespie's regiment Texas Infantry; fourth, Portlock's regiment Arkansas Infantry; fifth, Denson's company Louisiana Cavalry; sixth, Hart's Arkansas Battery; seventh, Nutt's company Louisiana Cavalry.
CAVALRY BRIGADE, Colonel W. H. PARSONS commanding.
First, Parsons' regiment Texas Cavalry; second, Carter's regiment Texas Cavalry; third, Chrisman's battalion of cavalry, composed of Rutherford's, Anderson's, and Corley's companies, with McGehee's company, to be mounted (Major Chrisman will immediately report, with his battalion, to Colonel Parsons, at Cotton Plant); fourth, Pratt's Texas Battery.