Everett, this is the info I have found on your Swift Flower Mullin, I could be wrong but based on your post this is the only one I could find with this name......

You searched for Swift Flower Mullin
All U.S. Civil War Soldiers, 1861-1865 Results
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U.S. Civil War Soldiers, 1861-1865
about Swift F. or S. Mullin
***Name: Swift F. or S. Mullin
Side: Union
Regiment State/Origin: Arkansas
Regiment Name: 2 Arkansas Infantry.
Regiment Name Expanded: 2nd Regiment, Arkansas Infantry
COMPANY: K
Rank In: Private
Rank In Expanded: Private
Rank Out: Private
Rank Out Expanded: Private
Film Number: M383 roll 3

Source Information:

National Park Service. U.S. Civil War Soldiers, 1861-1865 [database on-line]. Provo, UT, USA: The Generations Network, Inc., 2007. Original data: National Park Service, Civil War Soldiers and Sailors System, online <http://www.itd.nps.gov/cwss/>, acquired 2007.

Patricia