Another idea for his because it is so small.
First umbrellas came to America from Europe in 1770s. First users were criticized for defying the will of God who made the rain. Wealthy women wore long, full skirts trimmed with fine lace or silk. Because a delicate, white skin was considered beautiful, they wore long gloves and large sunbonnets for protection from the sun. They walked on uncomfortably high heels, carried fancy fans and wore long hair with clusters of ringlets or curls.
Only other I can think of would be legs to small items like a mantel clock or something
Even a quill pen holder came to mind but don't know why it would need a hole in the back like that.