Traina says Green was badly beaten during the fight and was trying to flee the scene when she struck and killed 26-year-old Natalie Mestre of Paterson.
Police believe Mestre, a mother of two, may have been a bystander not involved in the fight.
Five women were also treated and released for minor injuries at a nearby hospital.
Traina says Green has been released on bail, and did not yet have a lawyer.
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