Taurus Girlfriend

This sounds so much like what I went through with a Taurus.

I don't know, man. It's hard to say. She was constantly threatening to leave and then leaving and coming back. It was definitely playing a game to get my attention, yeah. I don't know if there's another reason a human being would act like that, honestly.

She wants to feel validated about how into you she is. It sounds a lot like borderline personality disorder.

Although, maybe that is how Taurus present in some cases.

You should maybe check it out here before you make any serious commitment: https://en.wikipedia.org/wiki/Borderline_personality_disorder

In both cases, you wouldn't want to give her space. That would be rejection and a sign that you want her to go. But that's up to you. Personally, giving comfort is rewarding a behavior that isn't working in the relationship for her to fall back on every time she feels a little insecure. Not good at all.

This sounds very unhealthy. You have to think about the environment in which you are raising your kids. She sounds very immature and destructive to your entire families emotional health. Let her go.