One who is referred to as eponymous is someone who gives his or her name to something, e.g. Julian, the eponymous owner of the famous restaurant Julian's Castle. Something eponymous is named after a particular person, e.g. Julian's eponymous restaurant.
While Brown praised the "incredible talents" of her 8 p.m. cable news competitors, she also revealed she didn't feel she was in the same league as these pundits.
If you look just below her right ear, you'll see the Schrader valve.
