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It was what was called a pocket rifle, which was one of the first types of collapsible/removable stock rifles.The one that she has in particular, was marketed so that you could put the collapsed rifle into a pocket that you would have strapped to the crossbar of your bicycle.
I put a link to a blog with the actual make/model about it further down the chain.
And it’s got a compass in the stock and this thing that tells time.