The vehicle was travelling at a speed of approximately 65kmh when it skidded across the gravel road surface, the front passenger's corner of the vehicle hitting the bank on the left before rolling and coming to a stop upside down in a 180-degree direction from the initial impact.
The eight-year-old girl suffered a head injury and died at the scene while her mother, the other adult passenger, was airlifted to Hutt Hospital.
The driver later returned a positive breath alcohol result at a reading of 600 micrograms per litre of breath – the legal limit for drivers aged 20 years and over is 250mcg of alcohol per litre of breath.
She admitted to consuming up to six vodka cruiser drinks.
It was her fourth drink driving offence, and the woman was unlicensed at the time of the crash.
Represented by defence lawyer Andra Mobberley, the woman also pleaded guilty to two cannabis charges from a separate event, one of cultivation and one of possession to produce cannabis oil.
However, she entered not guilty pleas to four remaining charges, three relating to possession of restricted firearms and one of receiving stolen goods valued from $500 to $1000.
The woman elected to have these tried in a judge-alone trial, where she would also face sentencing for the five charges she was convicted on.
She was granted interim name suppression, which Crown prosecutor Stephanie Bishop did not oppose.
The woman was remanded on bail until sentencing later in June.