If you decide to address anything about this incident with your group, I'd suggest you be as vague as possible while still getting your point across without naming names. I don't think it's appropriate to talk about her with the other members. If she made any friends or contacts in her short time there, you'd be potentially destroying those relationships, and I truly think she does not deserve that.
I really think you should just let it drop, though. You told her very clearly that she was not welcomed back, and she understood what that meant. It would take a special brand of crazy/delusional to show up at your next meeting or at your house(!) and I just don't think any of us in this thread (including OP, who spent, what, like an hour? with her) can categorize her as crazy/delusional.
It seems unfair and a little mean to assume the worst of her, when it's more likely that she's maybe a little weird to begin with and SUPER EXCITED ("you finally emailed me I came to the first event right away") and eager to meet the other moms and get right in there. She doesn't need to be handled like she's a dangerous crazy person, until she does actual dangerous and crazy things.