There's no such episode. In fourteen seasons, Tiger Woods (as a character or a voice) has never appeared on Family Guy.
Although, his name was mentioned in Fore Father by Cleveland Junior.
Family Guy has several writers including Seth MacFarlane, Mark Hentemann, Cherry Chevapratadumrong, Steve Callaghan, and Wellesley Wild
The writers are brilliant
This happens in many episodes. It is just Stewie trying to annoy Brian. Throughout Season 7 it happens more.
She was not in Family Guy. Jeannette voiced a high school student in the Cleveland Show episode, Little Man on Campus