Was the William T. Neal who was elected as Lieutenant Colonle of the 16th Arkansas Infantry Regiment the same man who commanded the 4th Brigade of Arkansas State Militia, which included Washington County, at the begining of the war?

NEAL, WILLIAM T. Lt Col - Enl 5 Nov 1861 at Fayetteville, AR. Age 39. Elected 4 Oct 1861. Not reelected at reorganiaztion, discharged by Gen Van Dorn 24 May 1862 at Corinth, MS.
http://www.couchgenweb.com/civilwar/16infcog.html