I think she should go to UIUC if she wants to study Chemistry, and to Mich if she wants to study Neuroscience. UIUC is good: Illinois Chemistry #6 in US News Graduate rankings | Chemistry at Illinois
This is actually not so great: http://university.menggy.com/552/USNews%20Subject%20Rankings-Neuroscience%20and%20Behavior/2833/University%20of%20Michigan-ann%20Arbor
But presumably these are not water tight departments. You can change to other major at either university I assume…