From the Missouri State Archives. If this is the same Elijah, he may have served both sides. Could have been forced into service by one side or the other or both.

Name: BRAWLEY, ELIJAH D.
Rank: Private
Conflict: Civil War
Side: Union
Type of Unit:
Organization: Enrolled Missouri Militia
Name of Unit: 68th Regiment E.M.M.
Alternate Unit Name:
Company: D
Period of Service:
Commander:
Note:
Record Group: Office of Adjutant General
Series Title: Record of Service Card, Civil War, 1861-1865
Box: 10
Reel: s804
Image: View Record

Record shows he was enrolled with the 68th EMM April 30 1864

Elmer