She can also do shield bubbles, that was kind of one for later though. What would that fall under?

Also this kind of diving into how powers work is the kind of thing I love. You've just made things a lot more interesting. 

See, going by your rules, her mother probably had basic tk. She was very good at minute things. Something as subtle as pulling a trigger with her mind. Jinny being a second generation with a similar but different power set makes complete sense to me.