Lars -- I'll do some digging through my files to see if I have any more details, but what I've found so far is that Capt. Henry Clay West's "Desha County Artillery" was assigned to 2nd Division, 1st Corps, in the TMA reorganization following the Battle of Prairie Grove. On December 31, 1864, it was redesignated as the 4th Arkansas Field Battery and was assigned to Maj. Thomas A. Faries' 3rd Artillery Battalion, in Maj. Gen. Camille Giles de Polignac's 2nd Infantry Division, in Lieut. Gen. Simon Bolivar Buckner's First Army Corps.
Lieut. Gen. Richard Taylor offered Captain West the position of Chief of Artillery with the rank of lieutenant-colonel, but West declined, saying that the people of Desha County had sent him this battery to command and he would "remain with it to the close of the war and take the survivors back to their homes". West's Battery never surrendered. At the end of the war the battery was stationed at Rock Mount, Louisiana, where Captain West disbanded it on May 26, 1865.