Police were called just after 4am on Saturday 22 January, when a silver Vauxhall Corsa left the carriageway on the A326 driving towards Hythe.
Sadly, one person involved in the incident, Anna-Marie Greenhough, 32, of Flowerdown Close, Calmore, has since died in hospital.
Her family are been supported by specialist officers.
Paying tribute to her, her family said: “Anna-Marie was a loving mum of five beautiful children, a devoted daughter and sister.”
Officers are continuing to investigate the exact circumstances of the collision and remain keen to speak with anyone who can assist.
If you witnessed the collision or the vehicle in the moments leading up to it, or if you have any dash-cam footage, then please call 101, quoting the reference 44220028801.