Ok, the report of Nov 17th now tells me that Louis Brown actually did form a battery with guns and not on paper. So much of the reorganization of the Confederate Army in Arkansas from June until October of 1862 was much like the German army of late 1944/45.
Many of the units existed on paper only, or formed and disbanded in such short order that only a single mention in a telegraph or correspondence is all that exists. Conscription laws, returning troops from eastern theaters, expiring enlistment, resignation of Officers, re-elections of Officers and newly appointed Officers by the Governor Hindman, Holmes and other military boards in Little Rock, and even Robt. C. Newton and Hindman disinformation campaign to keep Gen'l S. Curtis' army at Helena off balance, not to mention the State troops and Militias that were formed for just immediate emergencies, all run together to make one big mess of trying to understand the makeup of things. Especially in Southeast Arkansas.
Then you have the actual formal forming of those companies into Regiments, and Brigades, and Corps and Armies.