From keep-all-abortion-legal-site womensenews:

If Harriet Miers wins confirmation to a seat on the Supreme Court this fall, she may arrive in time to cast the deciding vote in a controversial case involving parental notification of minors seeking abortion.
But even if Miers does take the seat in time to hear the case, some suggest that for ethical reasons she may take a pass and not weigh in on it.
That’s because, as White House counsel, she ostensibly already has.