Mich. Comp. Laws § 168.638

Sec. 638. Whenever a special election shall be ordered by the governor to fill any vacancy, the secretary of state shall immediately notify the county clerk of each of the counties embraced in the election district, or the county clerk of the county the whole or part of which constitutes the election district, of the time of holding such election, the cause of such vacancy, the name of the officer and the time when the term of office will expire.