The name of a town shall be changed if a petition designating the new name is signed and filed with the town clerk under the procedures in s. 9.20 (1), certified by the town clerk under the procedure in s. 9.20 (3), approved by the electors in an election held under the procedures in s. 9.20 (4) and the result of the election is published in the town’s official paper, or posted in the town, and the new name is filed with the secretary of administration.