Ray Jones, 50, was a passenger on the Kawasaki motorbike when it was involved in a collision with a red Volvo C70 on the B4246 at Blaenavon on Saturday.
In a tribute, her family said she was always "full of life, love and happiness".
The male Volvo driver, 46, from Blaenavon, was arrested on suspicion of causing death by dangerous driving.
The man who was driving the motorbike was taken to Nevill Hall Hospital in Abergavenny with minor injuries but has since been released.
A statement from Mrs Jones' family said: "Ray was the rock of her family, always full of life, love and happiness.
"She was loved by all as a wonderful daughter, sister, wife, mother, grandma and friend."
A pillion motorbike rider who died following a crash with a car in Torfaen has been named.