OK guys, after scratching my head a bit, I think I know why the folks at Doe Network think she is Middle Eastern. I was thinking about how long and thick her eyelashes were. Those lashes were naturally dark, thick and long - in the days before eyelash extensions and Latisse were a thing (the ladies will know what I'm talking about!). Then, I thought what ethnicity would most likely have those eyelashes. Suddenly, it hit me -- many of Eastern Mediterranean and Levant heritage often have a very light olive complexion, but have thick, brunette hair, including their eyelashes. The Lebanese, Armenians, Israelis, Turks, Cypriots, et. al. live in what is geographically considered "the Middle East" - doesn't mean the same thing as Arab.
I'm attaching some pictures of females from that part of the world, for comparison.
^ The famous Lebanese singer, Karina Eid. One of the most beautiful women I think I've ever seen!
^ Marlo Thomas. (OK, I know she's an American, but her dad was Lebanese, mother Sicilian.)
^ Jessica Kahawaty, beauty pageant contestant (in Australia, I believe). Lebanese ancestry. Note moles on face, like our Jane Doe has.
I have a strong hunch that she may have been of Lebanese ancestry. I'll admit I was very skeptical at first, as I periodically check my "pet" cases on Doe Network and saw this interesting tidbit added almost as an afterthought, which I hadn't seen on her page before (or I would've remembered it).