I agree with dlf. You should have removal procedures in place. This matter should be checked into more thoroughly to see if this parent has a valid reason for wanting to impeach the PTO President.

"for personal reasons"--well that doesn't sound like the right reasoning at all for that type of action to take place. I'm surprised given your groups scope that you don't have removal procedures in place however and that may be something you want to investigate including. Does the PTO itself have bylaws? Perhaps there are rules in there to work the issue.
Without knowing however, what the personal issues are it would be difficult to comment on what to do next (not that I'm looking for gorey details here on this forum). I do think that if there is a safety, legal, health or theft issue then there is reason to convene the committee, hear the grievance and establish a procedure to handle this particular case and then widen that scope as necessary---if this is even any of anyone's business--you know? Your committee sounds like a coordination committee vice a disciplinary committee...but perhaps you need to look to the aspect of including some sort of authority in those cases.
d

Our town is so fortunate to have five schools each with thriving PTOs. We also have a PTO Coordinating Council that provides for sharing of ideas and resources as well as coordinating district information and events. Presidents meet monthly with the Superintendent, three public meetings include all PTO Officers, school and district administrators and 2 Board of Education members and several informational presentations are sponsored throughout the year for parents. I am the president of the Coordinating Council. But I have run into an unprecedented circumstance and need HELP! For personal reasons, a parent has “demanded” that one the elementary school PTO presidents be impeached. There certainly is no precedent for such a request and so, no procedure or process in place. The only relevant statement in the by-laws is:

“On any major policy matter requiring establishment of the PTO Coordinating stance, each school’s PTO Board shall take the appropriate action to determine the school position, and its President shall report by “single vote” For or Against, to make known to the Coordinating Council the position take by that school’s PTO.”

I need to respond to this parent. What do I do and how should I do it?