She was not educated at Harvard, from Wiki
Barrett studied English literature at Rhodes College. She graduated magna cum laude in 1994 with a Bachelor of Arts and was inducted into Phi Beta Kappa. She then studied law at Notre Dame Law School on a full-tuition scholarship. She was an executive editor of the Notre Dame Law Review and graduated first in her class in 1997 with a Juris Doctor summa cum laude.
I hope that I am as wrong about her as I am wrong about her education, but probably not.