It may matter most if she either decides she doesn’t want to teach and changes her major or if she goes into private school teaching. Prep school parents tend to be education snobs and top school have faculty heavy on degrees from top name schools. On the flip side, if she plans to be a teacher it won’t make sense for her to take on a lot of debt so that’s something you and she will want to consider. If she qualifies for a lot of need based aid she’d do well to look at top schools because they often have the most generous FA, much of it in the form of grants that don’t need to be repaid. If she won’t get much FA she may want to look at less expensive public schools or privates where she’ll be able to get merit money.