Welcome to the forum galenwhisper!
I know I shouldn't try to guess anything at this hour but here goes......
It fits around a wine bottle neck with room to spare so it's too large to be used to turn a wine cork.
Did they seal any other larger mouth jars with corks?
A ritzy 'tool' for holding hard boiled/pickled eggs at the dinner table?
Something to grasp a thick hank of hair while styling?
A very pretty but nasty device used in Victorian child rearing?
Totally lost..........need more caffiene