It was about the right of a parent to with hold immunization from a child for religious reasons. The immunizations would have protected the child from diseases described by health officials (I think in the state of MIssissippi).
The religious right appeal goes right back to the First Amendment which guarantees religious freedom. The court found that when a child endangers himself or others by not being protected from deadly diseases, the First Amendment's protection does not apply.
Mississippi Supreme Court Decision: Brown v Stone. Stone, a 1979 state Supreme Court case in which the Court lead that a religious immunity in Mississippi statute was unlawful.
As far as I know, the only way to remove a state judge is impeachment by the state legislature. Remember, this is as far as I know but I'm pretty sure it is correct.
