(1) If no written assertion of title has been presented by the owner to the museum or society within ninety days from the date of the second published notice, title to the property shall vest in the museum or historical society, free of all claims of the owner and of all persons claiming under the owner.

(2) One who purchases or otherwise acquires property from a museum or historical society acquires good title to the property if the museum or society has acquired title to the property under this chapter.