Frankly, I don't remember exactly when I became aware of her. I knew about her sister from Agnes of God, but also remember an interview with la Tilly for the movie Let It Ride (Joe Pytka, 1989) where she said the director always wanted her to jump around and have her boobs fall out of her shirt. She said, how about I jump around and they don't fall out? That's funnier, because no one does that. I always thought she was opposed to doing nude scenes, and then I saw The Getaway (Roger Donaldson, 1994). No qualms on her part there.
My favorite of her movies, easily, is Bound (The Wachowski Brothers, 1996). It is the story of a lesbian ex-con (Gina Gershon) and a mobster's moll, Violet (Tilly). The pair plan to rip off Violet's man, Ceasar (Joe Pantoliano). It is a violent thriller with some nice twists and steamy scenes between Gershon and Tilly. It has a very classic noir feel to it, and is always enjoyable to watch.
Tilly has been out of the film scene for a while, doing voice work for Family Guy as Bonnie, and spent a few years as a professional poker player. She has three films in the works, including The Secret Lives of Dorks (Salomé Breziner, 2010).