GAW: first of all, it’s 671:2. Secondly, there is no mention in Shulchan Aruch of girls. Certainly, ?? ??? ???? ???? does not require infants to light to fulfill Mehadrin MIN HaMehadrin, so there is no indication it requires girls either. I quoted this previously from the Meiri, Shiltei Giborim and Magen Avraham and Mikraei Kodesh.
So, sorry but the Shulchan Aruch does not say that girls must light to fulfill Mehadrin MIN HaMehadrin either.