Section 19D. For each regional library system, the board shall establish a council of members which shall consist of the chief librarian or one trustee to be so designated by the board of trustees or other appropriate administrative authority of each participating library and one designated representative from participating libraries within each public school district and one representative from the participant private school libraries within each school district. The duties and responsibilities of the council of members shall be specified in the bylaws of the regional library systems as approved by the board of library commissioners.