This is great. My analysis:
She gets down on the ball good, a nice solid stance. She goes through the ball good too, a nice straight stroke. Her bridge hand could use some firming up, especially her rail bridges. She is a decent amateur player already, with the potential to be much better.
Oh, and one other very important thing. She has good concentration! That's a big plus. She has spent some time playing pool already. That's obvious. She is no beginner by any means.
Other things I noticed. A very pleasant smile and an over all healthy appearance. Take care of this girl! You have a winner there. But you know that already. It's so nice that the the two of you can enjoy things like this together. It only enhances your relationship.
One other small thing. When she takes her time to study the table she is fine. She sometimes rushed a little getting down on the shot. She could slow her pace a tad, that's all. The long shot she missed, she came up on the ball. When she stays down her stroke is very sound and solid.
Thanks for sharing this. You are justifiably proud of her.