Closest fit in the SOS file I find is Sgt. John E Reeves of the 29th Missouri Vol Inf.
See http://www.sos.mo.gov/TIF2PDFConsumer/DispPDF.aspx?fTiff=/archives/AdjutantGeneral/Civil_War/ServiceCards/s860/1561.tif&Fln=S258409.pdf
Time frame fits, I haven't worked up any famil connections for him though so proof is still not there.
John R