Danny, one of the components of Slemons' regiment was W. D. Barnett's 2nd Battalion Arkansas Cavalry (I didn't know there was also a Florida battalion commanded by another W. D. Barnett -- I can see how that could confuse things).
I've transcribed everything I could find at the National Archives about Barnett's Arkansas Battalion, which isn't a whole lot, but you're welcome to it.
As best as I can determine, Barnett's 2nd Arkansas Battalion was organized in early April 1862 at Memphis, from five independent companies (two of them may have been loosely joined in an unofficial battalion, but I may be reading too much into a fragmentary reference I ran across) --
Co. A--Capt. Alexander Mason (Calhoun County).
Co. B--Capt. Elisha L. McMurtrey (Bradley County).
Co. C--Capt. William J. Somervell (Dallas County).
Co. D--Capt. J. N. Paine (Jefferson County).
Co. E--Capt. Obediah Tebbs (Ashley County).
I have reason to believe that one or more or these companies may have been peripherally involved in the battle of Shiloh.
Anyway, the battalion was short-lived, as it and the 6th Battalion Arkansas Cavalry were consolidated on May 15, 1862, to form the 2nd (Slemons') Regiment Arkansas Cavalry.
Here is one of the documents I found relating to Barnett's battalion --
Head Quarters Army of the Miss., April 11, 1862.
To General Braxton Bragg, Comd 2d Corps.
General: It is represented that there is a mutiny in the camp of Major Barnetts Cavalry headed by a Captain Paine of that Battalion.
This Battalion is near the encampment of Col. Fagan's Arkansas Regiment of your Corps and Gibson's Brigade. The General therefore orders you to take measures for the radical suppression of the mutiny.
Capt. Paine refuses to obey the arrest of Major Barnett.
Respectfully, Your obt svt,
A. A. Genl.
There's no follow-up correspondence that I could find.