I have not found an image of this gun, and whether it was a "rifle" or another shotgun

The Critic (Washington, District of Columbia), Friday November 12, 1886
Miss Annie Oakley, the sharp shooter, possesses the most valuable rifle in America. Every screw in it is of solid gold, and a figure of herself, also of gold, is set in the stock. It was a present from L.C. Smith of Syracuse.