The popularity of the name Mary Jane in 1888 was almost zero. Same for the whole decade before that, as shown in the graph below, and probably for decades before that.
http://www.babynamewizard.com/baby-name/girl/maryjane


Would Mary Jane Kelly really have changed her name to Mary Jane from something else? And then changed it to Marie Jeanette?

To me it would be like not knowing Robert Donston Stephenson's origins and wondering if his real name was Robert Donston. Or if he changed it to Robert Donston and then changed it to Roslyn D'Onston.
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