I found Uberti cap & call cylinders a drop-in fit in both Uberti and Colt 1st, 2nd and 3rd gen Navies and Armies. Swapping barrels can involve fitting the arbor to the barrel sometimes. Often the outside contour dimensions will differ at the bottom of the barrel lug at the frame, but that's not a critical thing. The same dimensional differences for width, etc will occur with the triggerguard and backstrap at the frame, but the screw pattern is always right on.
Fitting a Pietta barrel can be a more difficult situation to an Uberti, as the geometry will differ at the two-pin locaters at the bottom of the frame, as well as the overall dimensions of the barrel itself.
An 1861 Uberti barrel will not fit a 1st gen Colt Navy, I found, but as said, the cylinder is a drop-in. Internal parts including the hammer, (drop-in) trigger (drop-in) and hand or bolt (fittable) are good from Uberti to Colt 1,2 and 3 gen.
Uberti gripframe screw heads are smaller than Colt, (M5 against about .212) and the thread is M4x.70 is slightly smaller than the Col's #8-36, but awful close, Colt tight in an Uberti and Uberti a bit loose in an original Colt C&B or SAA.
You can put a Navy cylinder and barrel on a 60 Army and fire it. The only difference showing is the rebate cut in the frame. Because of the rebate cut, the opposite is not true. Navy 1851 and 1861 barrels are interchangable.
As an aside, Uberti Russian grip panels mounted right up to my original S&W Russian.