55 ILCS 5/5-31005
The affairs of a museum district shall be managed by a board of 5 trustees. If the museum district is composed of one county, the trustees shall be residents of the county. If the museum district is composed of 2 counties, 3 trustees shall be residents of the county with the larger population and 2 shall be residents of the other county. If the museum district is composed of 3 counties, one trustee shall be a resident of the county with the smallest population and the remaining trustees shall be residents 2 each of the other counties. If the museum district is composed of 4 counties, 2 trustees shall be residents of the county with the largest population and the remaining trustees shall be residents one each of the other counties. If the museum district is composed of 5 counties, one trustee shall be a resident of each county.
The chairman of the county board for the county of which the trustee is a resident shall, with the consent of the county board, appoint the first trustees who shall hold office for terms expiring on June 30 after one, 2, 3, 4 and 5-year periods respectively as determined by lot. Successor trustees shall be appointed in the same manner no later than June 1 prior to the commencement of their terms. Trustees shall be selected on the basis of their demonstrated interest in the purpose of the museum district.
Each successor trustee shall serve for a term of 5 years. A vacancy shall be filled for the unexpired term by appointment of a trustee by the county board chairman of the county of which the trustee shall be a resident, with the approval of the county board of that county. When any trustee during his term of office shall cease to be a bona fide resident of the museum district, he is disqualified as a trustee and his office becomes vacant.
Trustees shall serve without compensation but may be paid their actual and necessary expenses incurred in the performance of official duties. A trustee may be removed for cause by the county board chairman for the county of which the trustee is a resident, with the approval of the county board of that county, but every such removal shall be by a written order which shall be filed with the county clerk.
55 ILCS 5/5-31005