If a vacancy occurs in the office of any Board member, a successor shall be appointed to serve for the unexpired term. In the event that the office of Chairperson is vacated for any reason, the Village President, with the advice and consent of the Board of Trustees, shall immediately appoint either one of the remaining members of the Zoning Board of Appeals, or any member who is appointed to fill such vacancy of the Zoning Board of Appeals as the new Chairperson.