Ms Jessop attended Wairarapa College in her junior years.
Principal Mike Schwass said staff and students were extremely shocked to hear the "tragic news".
"In the short time she was with us she showed real potential. She was a capable and intelligent student and our thoughts are with her family at this time."
Ms Jessop's Facebook page listed some of her interests as music, films, books and fashion.
The Times-Age contacted Ms Jessop's immediate family but they did not wish to comment at this stage. Ms Jessop was the daughter of Carolyn and Peter and sister of Lucy, Jackson, Grace and Oden.
The accident reflects a bad year so far for road deaths in New Zealand.
Assistant Commissioner of Road Policing, Dave Cliff said the death toll on the nation's roads has reached triple figures, with the worst April in four years. "Frustratingly, it's still the basics - drinking and driving, going too fast for the conditions and not wearing a seatbelt, or a combination of all three that is needlessly killing New Zealanders on the nation's roads every week."