DSD: your daughter's hair is beautiful.. no matter what hairtype she is! Her hair definetely has more wave than coil, and looks very easy to handle.
Just a side note.. most ladies who have switched from no-lye to lye say that their hair processed faster with the no-lye, so when they switched and used the same timing most ended up with underprocessed hair. So look out for that IF you make the switch.
She is lucky to have a mom like you caring for her hair so vigilantly.