It's kinda weird. She's had time to text you constantly for two weeks and now she's flat out and barely has time to let you know? Who's baby in the background? Hers?
Maybe her parents had a chat with her and suggested she's moving too fast? You meeting them after knowing her for only two weeks?
I think it's best to give her reassurance that you're cool with not hearing from her for a while. Send the "do it when you have time, I'm kinda busy too!" message and then actually make yourself busy so you don't have too much time to obsess.
If you don't hear back I'd assume she got cold feet. If you do, make sure you guys talk about things and let her know you're fine with slowing things down and giving her space.