In Confederate records of units by State, I ran across the below under the heading "Arkansas Battalions". Can anyone identify "Major B.W. Magee"?

1st Battn Creeks
Lt Col C. McIntosh
Major

1st Battn Cherokees
Lt Col
Major B.W. Magee

1st Battn Seminoles
Lt Col
Major

1st Creek Battalion was commanded by Lt Col Chilly McIntosh, of course, and the 1st Seminole was commanded by Lt Col John Jumper. I don't know if this 1st Cherokee Battalion is Bryan's Battalion or some other collection of companies. I can't find a B.W. Magee or anything close to it in Fold3, the 1860 Arkansas Census, or Cherokee records ('Old Settlers' and 'Old Settlers Payroll' and Emmitt Starr's 'Old Cherokee Families'). Any ideas?