Such cemetery district shall be governed by a board of five directors. At the first annual meeting five directors shall be elected as follows: Two for a term of four years, one for a term of three years, one for a term of two years, and one for a term of one year. Thereafter, upon the expiration of the term of a director, a successor shall be elected for a term of four years. Directors shall reside either (1) in the county or counties in which such cemetery district is located or (2) within 25 miles of the cemetery district boundaries. Upon the change of residency of any director as required by this section, such director’s office shall be deemed to be vacated. Vacancies in the board of directors occasioned by removal, resignation or otherwise shall be filled for the unexpired term in like manner as original elections.