The Colt single-action revolver was designed to be used left-handed, as it was a "secondary" weapon to the sabre, at least in the thinking of the old men running things. The sabre was hung on the left side, for a right-hand crossdraw, and the pistol on the right, for a left-hand crossdraw.
As I recall, someone made a "right-hand" single-action a few years ago. I haven't heard of a currently-produced LH 1911. Springfield and S&W make ambidextrous pistols, although they all eject to the right. Not as much problem in a pistol.