While my daughter was in seminary a few years ago, she went with some girls to Rebbitzen Kanievsky a’h. It was during Chanukah, and they arrived just as R’ Chaim shlita was getting ready to light.
My daughter and her freinds were able to stand near the Rebiitzen in the doorway while R’ Chaim lit the menorah. After R’ Chaim lit, THE REBITTZEN LIT HER OWN MENORAH WITHOUT A BROCHO!!! We have photos of it at home. If Rebbitzen kanievsky could light, so can all other girls and women.