This has taken over 8 years to solve from when the first Tyree descendant approached me in frustration over this issue of Polly's disappearance. Great work everyone, you have been amazing. Thank you.
Obviously there are a number of questions yet to answer such as, what happened to her body, where is she interred. Obviously some time between Apr 29-May 3 the inquest was conducted and ruling made on cause of death, so she was recorded as a death around that time to appear in the quarter end Jun 1901.
I wonder if she was buried outside of consecrated ground, because of her condition and the circumstances. I'm not definite on the Tyree's denomination but assuming Catholic since they were Irish originally. It doesn't even nominate a denomination on the family plot in Dunedin.
I wonder if anyone knows what the situation was with unclaimed, unidentified and destitute individuals, was there a pauper's cemetery or mass grave in London at that time? I don't know what protocol was in such situations in early C20th.

I think that we have all been working hard at this. As ever it is down to everyones input, we still need to know when she arrived in England and where from.
I am glad that at least this part of the mystery has been solved. Where was she buried