The State Registrar of Vital Records shall appoint and may remove for just cause local registrars. Persons eligible to serve as local registrars are:
(1) In cities, villages, and incorporated towns, the clerk of the city, village, or incorporated town.(2) The township clerk in each township in counties under township organization, excepting those portions of the township constituting a separate registration district.(3) The road district clerk in each road district in counties not under township organization, excepting those portions of the road district constituting a separate registration district.(4) The health officer of any public health department defined as a full time public health department under the rules and regulations of the Department.(5) If none of the preceding officers is available to act as a local registrar, any full time public officer of county or local government in the district or a hospital administrator of any licensed hospital in the district which is not located within a home rule county.