This is only a brief summary. For more information, please visit the Faculty page at Bully Wiki.
The faculty are the highest form of authority on the school campus. They rarely appear outside of cut scenes and missions, though they can occasionally be found patrolling the campus or lecturing and scolding individual students. In the Library after curfew, a random teacher will spawn.
All the teachers have a chance of spawning in free roam, except for Dr. Crabblesnitch, Mr. Matthews, Miss Peters, and Neil. Additionally, while he is part of faculty, Mr. Luntz does not count as an authority figure.
Dr. Crabblesnitch is the school's headmaster. He views bullying as school spirit, though seems like he truly does care about the students.
Mr. Burton is the school gym teacher. He is infamous for his inappropriate sexual attraction to the high school aged girls, and is fired at the end of Chapter 5.
Mrs. Carvin is the school librarian. She is very old fashioned, and cares very much about books and reading.
Ms. Danvers is the school secretary. She is very dedicated to Dr. Crabblesnitch, and this is widely known around the school.
Edna is the school cook. She is very unhygenic, and has a crush on Dr. Watts.
Mr. Galloway is the English teacher. He is a known alcoholic, and has a relationship with Ms. Philips.
Mr. Hattrick is the Math teacher. Dishonest and mean-spirited, he attempts to get Mr. Galloway fired on account that he is an alcoholic, and sells tests to students. He is fired at the end of the mission Cheating Time.
Mr. Luntz doubles as the school janitor and school store clerk. He dislikes his job, and can be heard muttering to himself about plots against both the faculty and the students, particularly Dr. Crabblesnitch.
Mr. Matthews is the Geography teacher. He is enthusiastic about geography, and sees the best in the students. He comes from a family of farmers.
Nurse McRae is the school nurse. She is very morbid and appears to dislike children.
Mrs. Peabody is the Girls' Dorm hall monitor. She is very strict about rules, and dislikes boys, wanting Bullworth to be an all-girls school.
Miss Peters is the Music teacher. She is free-spirited and laid-back, though she has been prone to blackmail and manipulation.
Ms. Philips is the Art teacher. She is considered attractive by many of the male students, and the female students seem to be rather jealous of her. She has a relationship with Mr. Galloway.
Dr. Watts is the Chemistry teacher. He appears to suffer brain damage from breathing in chemical fumes over the years, and seems to get along with Dr. Slawter.
Mr. Wiggins is the History teacher. When he was younger, he seems to have been a bit of a juvenile delinquent.