yes in as much as i know from my play with my Pietta clones of 1851, 1861, and the 1860 revolvers.
the '60' frame will except the 51 and 61 barrels in 36 cal as well as the cylinder in same cal of .36
do look a little weird tho as the water table is cut down for the enlarged 44 cal '60' cylinder ... but not that weird. it all works as long as you keep with the same manufacturer and do not try to exchange say Pietta with Uberti parts ... [altho i never tryed so maybe?]
nother thing i would strongly suggest here ... please do watch that the proper cal barrel and cylinder are installed together. a 36 barrel will be impossible to have shoot without something disastrous happening when you try to fire a 44 cal ball down that little 36 cal barrel opening