The military guns were called by the military nomenclature - M1911 or M1911A1. It sounds contradictory, but the Government Model was never used by the U.S. government. (Some were sold to other governments, though.)
Strictly speaking, the term "1911" can be applied ONLY to the U.S. Army Model 1911 pistol, not to commercial models, clones, lookalikes, toy guns, plastic pistols, .22 versions, or any other type of pistol, even the Model 1911A1. But, realistically, that term is now used for almost any handgun that even vaguely resembles a Model 1911. IIRC, someone once put a flintlock top on what looked like a Model 1911 frame and called it a "1911".
Jim