Membership. A Board of Adjustment is hereby established. The Board of Adjustment shall consist of five members appointed by the Town Chairperson, subject to confirmation by the Town Board, for three years, except that of those first appointed, one shall serve for one year, two for two years and two for three years. The members shall serve with compensation as set by the Town Board, shall all reside within the Town of Hudson, and shall be removable by the Town Chairperson for cause and upon written charges and after public hearing. The Town Chairperson shall designate one of the members Chairperson. Vacancies will be filled for the unexpired term of members whose terms become vacant. The Town Chairperson may appoint, for staggered terms of three years, two alternate members for the Board, in addition to the five members provided for herein. The Town Chairperson shall annually designate one of the alternate members as first alternate and the other as second alternate. The first alternate member shall act, with full power, only when a regular member of the Board refuses to vote because of interest or when a member is absent. The second alternate shall so act only when the first alternate so refuses or is absent or when more than one member of the Board so refuses or is absent. The above provisions, with regard to removal and the filling of vacancies, shall also apply to such alternates. No member of the Town Board may be a member of the Board of Adjustment. The Board of Adjustment shall appoint one of its members as Secretary of the Board, unless the Town Board shall authorize the employment of a secretary.