She goes to Hardscrabble Farms on the schools field trip, and states that she has been going on the trip for 19 years. She appeared to be the head of the field trip since she told the kids the rules, and had the chaperons to search kids bags. Greg and his cabin-mates accidentally swipe her bag when they raid the girls' cabin during the trip.
In Double Down, she is shown to be the schools music teacher. Greg states the band sounds not all that great, and that Mrs. Graziano is likely annoyed by the band as she has been the music teacher for many years. It is stated she is planning to retire the next year, and that she has already given up on the band due to this. She apparently hates farts, as shown when Grayden Bundy is blamed for Greg's fart.