one difference is the grip size, 1951 uses the same grip frame as the later 1873, peacemaker
an 1860 army uses a larger grip frame and grip, because the earlier 44's had a larger grip
the frame on a 51 and 60 are very close, as the 1860 was based on the 1851, the 44cal 1860 has a step machined into the frame to allow the stepped 44 cal cylinder to fit,