Technically, it is the Colt New Model Army, the civilian model; the New Model Navy grips are different, although the guns are otherwise identical. The Model 1892, 1894, etc. Army contract guns differ in the grip from the civilian and Navy contract guns.
Just for fun, here are pics of an Army contract model (top) and a New Model Army (bottom). Note the wider grip on the military gun, almost like the SAA. I apologize for the poor picture quality; I was in a bit of a hurry. The New Model Army appears to have some bluing faults. It does not, the smuges are oil.
Jim