Wow! There's probably no way to handle this that doesn't involve confrontation. The usual way to start is to assume she doesn't understand the effect her actions are having (even if you know she does understand). The president would talk to her privately about the negative effect her posts are having. The president would say she understands her need to vent -- everybody does sometimes -- but doing it in such a public space is creating problems she probably didn't anticipate. Another possibility (or the next step) would be to have the principal speak to her. In that case he would state that she should bring her concerns directly to him rather than posting them on facebook. Either way, I'd say you either need to get her to change her behavior or you need to remove her from the board. Also, you might find some helpful information in the article How To Deal With Difficult People. Good luck!
- Craig
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How To Deal With Difficult People: https:/classic.ptotoday.com//pto-today-articles/article/409-how-to-deal-with-difficult-people