Keep educating yourself as much as possible, but take it one step at a time with your DD and allow her to get one part dialed in before you move on to the next thing. Build her foundation, and keep evaluating her swing at every step. I've found that video is a huge help to see what's really going on. Trying to analyze her swing at full speed can be challenging (especially if you're still learning what to look for, as I am). Having a way to stop and slo-mo her swing is very powerful.
With my DD (much younger than yours), having drills that isolate and exaggerate specific movements is the most effective way to communicate what her body is supposed to feel. Verbal descriptions and demonstrations generally don't fare so well. Your DD may be different. From her pitching work, you probably already have a feel for how to get into her head.
Try this...
To an untrained eye, and anyone with very little knowledge of how the body moves, the two videos above look like the same move.
They are NOT. The pro player is NOT doing what the other two are doing.