I see the resemblance, even if there's no mention in JL's profile of the medical hardware that Jane Doe had.
Re: the height listed in JL's profile. This site shows a photo of her holding a refrigerator door and standing in front of a stove:
http://www.yorkcrimestoppers.com/missing.aspx
Assuming that's a standard-size refrigerator, she looks like she's much taller than four and a half feet. My fridge is five and a half feet tall and in the photo, she's about the same height as that fridge.
I measured my standard-size stove and the range top is three feet high. Assuming the stove in the photo is also a standard size, she looks much more than a foot and a half taller than it is.