One trouble is: Where to look for real relatives? I mean, she was so clever in covering her tracks, that no-one will ever know for sure about her real life.
All the best
Don't be sure.
A genetic profile of MJK could be entered into a genealogy program such as ancestry.com, I have done so and found relations I never knew I had!
Doing this with MJK would be tricky because we do not know her real last name. But if we can identify individuals that are closely related to her via genetics and work on their family trees we could zero in on her family and name. Its 1888, for genealogy its not that far back.
Still need a tiny bit of luck though.
There is also programs which can now with only using a DNA profile can now computer generate an actual face of said person.
All we need to do is locate the position of the skeleton in the graveyard - which is admittingly the hard part. But the skeleton (providing it has not be ground into dust) should be identifiable due to the horrific things that were done to her body.