I've actually never had a nosebleed. I consider myself lucky for that, they seem terrible to have.
By this point in the series, I wasn't surprised by Francine. She had already showed her two faces in the earliest seasons, like when she poked fun at Arthur about his glasses and the grudge-holding attitude in "Locked In The Library!" What was interesting however was the fact that she recompensed George at the end of the episode. In her earlier spells of evil, she would simply keep her personality until the end of the episode.