At the time fixed in the notice provided for in section 71.050, or if, from any cause, action thereon is not taken, such petition praying for change of name shall be, with all remonstrances, heard at any subsequent meeting of such corporate authorities; and when said authorities have heard such petitions and remonstrances, and are satisfied such change of name is necessary or proper, they shall thereupon make an order changing the name of such city, town or village, and adopting the name prayed for in such petition.