I didn't. Hell I didn't even use the same model for Annabelle. They just have the same hairBetty is an almost out-of-the-box model, so it's possible Moon used the same model, although she isn't from the Daz Store. I don't know.
The major issue is that Betty never was a nurse, she graduated from Med School before becoming a nun in her late 20s.
The rest of your theory could fit with some shoehorning