(1) A registered elector who has removed from 1 election precinct of a township, city, or village to another election precinct of the same township, city, or village and has not recorded the removal with the local clerk shall execute a transfer of registration request, listing the new residence address over his or her signature, with the election board in the precinct in which he or she is registered at the next ensuing primary or election.

    (2) If an elector’s signature contained in the qualified voter file is available in the polling place, the inspector of election in charge of the registration records shall compare the digitized signature provided by the qualified voter file with the signature and, if the signatures correspond, then the inspector shall certify the fact by affixing his or her initials upon the request. If an elector’s signature is not contained in the qualified voter file, the election official shall process the transfer of registration request in the same manner as transfer of registration requests are processed when a voter registration list is used in the polling place. The applicant for transfer, after having signed an application to vote as provided in section 523, shall then be permitted to vote in the precinct for that primary or election only. The application for transfer shall be filed with the township, city, or village clerk who shall transfer the elector’s registration pursuant to the application. If the name of a street or resident house number in a township, city, or village is changed, the township, city, or village clerk shall make the change to show the proper name of the street or resident house number in the registration records and notify the county clerk of the change. It is not necessary for the elector to change his or her registration to reflect the change in order to be eligible to vote.