If she likes puzzles, then she should definitely give Ghost Trick a shot, it's a brilliant game and has a fantastic story.
Night, Dawn, Afternoon... every eating disorder I suppose (initials pun intended).
I also played the demo, found it OK. Then played the full game and found it quite good, UNTIL the eternal repetition cycle, afterwards it was just OKish.
Now regarding game recommendations, perhaps Another Code Two Memories for the DS? (in the puzzle thingy department, but it is a graphic adventure)
If I think of something else, I will come back.
Boxboy! is a puzzle platformer...
Virtue's Last Reward? Maybe. If she doesn't like Phoenix Wright, VLR might bore her too, but it's worth a shot.
I'd also recommend looking into Kirby Triple Deluxe

