Her: Potentially free this weekend, then I have quite a bit of free time next thursday onwards, what about you? Sounds fun, how old are the kids, are they putting you in your place… ah, well i have an exam coming up, maybe we could have a productive time together

Potentially?
 This message calls out the fact that the girl is being unclear with her intentions. If this kind of thing is called out, you may find a genuine reason for her apprehension in meeting up or just a scheduling issue that can be overcome. 