Mahlon, he is not listed in any Arkansas regiment, Union or Confederate. I ran his name through the NPS Civil War Soldiers and Sailors System database, and he is not listed in any regiment anywhere.
I wonder if perhaps he served in a civilian capacity, such as a teamster, under contract. Such men are not carried on the regimental rolls, but some of them later applied for U.S. pensions. If someone could examine his pension application, it would indicate whether or not that was the case with this man.