Bullseye Sharp Shooter Rubber Band Pistol
From the National Firearms Museum:
Patented by Dr. Claude Bunten, a dentist in Wyoming, the Bulls-Eye Sharp Shooter rubber band pistol was a popular toy gun that was invented in the late 1920s. A .177 caliber BB was propelled by a rubber band in the gun that was designed to be shot indoors. The box itself worked as a target stand and backstop for toy birds that could be attached to the box. You could also shoot at three bullseye targets printed inside the lid.
Much more info on these rare (and so-politically incorrect these days) gatts here at PyramidAir’s blog and an American Society of Arms Collectors piece (16 pages) here.