There are no spoilers here because that is total BS. Bella tells us she entered college 18 years ago, Jill is at least 20-21, maybe even 22, years old and the age difference would not put them in school together. If she would have known Bella had a child before that died, why did she not know about the locked door or what was behind it. If she was "besties" with Bella's child she would have known it was their room.Bella's backstory has been figured out a year or so ago. So if you want to know... Major spoilers!
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The kiss in the library was probably an emotional reminder of James when he would come into the library and make out with her as was shown in a scene in the past of a younger Bella. I've always gotten the feeling Bella's response to the MC is both maternal and lover and that's because she is at the age of the infamous "biological" clock ticking, but is also in need of intimacy that is missing from her life.
It's more likely that Bella was pregnant and lost the baby because of something James did. That would be something you keep to yourself and not talk about. It would also be something that unravels a marriage. If Bella had a child that lived several years she'd have photos in the house, that's what people who have children do even if they have died. They don't banish them from their life or memories. Plus other people would know about her child.