Any incorporated city or village in this state, which has a boundary on waters of any of the great lakes, shall have the power to annex lands submerged by said waters if said lands are adjacent to its said boundary, the title to which is vested in a private owner pursuant to an act of the legislature of this state, which have no inhabitants, and are not at the time of the conveyance located in any township, city or village.

     If the written consent of the owner or owners of such lands to the annexation shall be first procured by the city or village, said annexation shall be accomplished by amending the charter of said city or village to extend the boundaries of said city or village to include said submerged lands sought to be annexed.

     Whenever the boundary of any city or village in this state is the shore line of any of the Great Lakes or connecting waters, any filled-in submerged land which is attached to and an extension of the upland and which shall have been in existence for more than 15 years and any submerged islands not within any city or village but within 300 yards of the boundary of the city or village shall be included within the boundaries of the city or village without annexation proceedings and shall also be within the boundaries of the county and other units of government.