Andy ...
We meet again, and again you are spouting nonsense that you know nothing about.
If a Board has a quorum, then they can meet whether the President is there or not. It is the role of the Board to hire and FIRE the executives of the organization, and if the board determines that the status of the executive is on the table, they are fully in their rights to exclude them so they can discuss the situation. To say that no notice meetings are virtually never legal is a complete fallacy. Boards do have regularly scheduled meetings, but every Board has the right to an emergency session. Meeting to discuss removing the President would constitute an emergency session.
I refer you to section (805 ILCS 105/108.25) of the General Not For Profit Corporation Act of 1986 of Illinois , wherein it is stated:
no special meeting of directors may remove a director under Section 108.35(b) of this Act [further which requires a vote of a majority of the directors then in office] unless written notice of the proposed removal is delivered to all directors at least twenty days prior to such meeting
If, however, the members of the organization are entitled to vote on directors then the above is wholly inapplicable.