A Capt. Chas. D. Wolff is listed in "2nd Brigade, 1st Division" whose service dates match those of the William Braun in the EMM:

http://www.sos.mo.gov/archives/soldiers/details.asp?id=S341265&conflict=Civil%20War&txtName=wolff,%20c&selConflict=Civil%20War&txtUnit=&rbBranch=