Ah, so all that was needed was for the school board to sit at the shoulder of the complaining parent, as the complaining parent voluntarily showed the school board the parent's Facebook, and the offending post that the parent saw via the parent's Facebook.
I don't believe the school board should have been involved in that either, but that would have been somewhat "better" than firing the teacher.
Better still, the school board should have said "It's Facebook, nothing to do with us."