You have a Martha Washington sewing cabinet. I purchased one at a yard sale years ago and was glad to get it for $60. Mine was in a little better condition on the outside. It holds a place of honor in my sewing room. The large bins on the sides are great for storing my latest small hand project or yarn etc.
The other objects are shoe stretchers. I can remember being told to stuff my damp shoes with newspaper so that they wouldn't shrink when they dried. As a child I only had one pair at a time so taking care of them was essential. We were not fortunate enough to own real shoe stretchers.