I looked at the tables in the background and your dd's head is at one level, drops as she is going to a coil and as she is swing goes up higher then the orginal level in her stance, a lot of head or eye movement.
Exactly, her HS coach says that if she tall at contact, she should be tall before that. But yes, keeping those eyes at the same level is a huge thing that many girls have never been taught! Me personally, I like her a in a little lower, stronger position. Both are just as effective (depending on who you ask) so she just needs to keep it consistent.