"However, my brave baby girl saved two lives by donating her kidneys and pancreas. I am truly heartbroken but proud of my little fighter! RIP baby girl."
Merseyside Police said they want to speak to two men who were seen running from the area after the crash and have released CCTV stills.
Violet's grandmother, Angela, remains in hospital in a serious but stable condition.
In an additional statement released by police, Violet's family said: "We are devastated by the loss of our beautiful daughter, but we want the organ donations to benefit other children and give them a chance to lead long, happy lives".
Officers said the car came to the attention of patrols shortly before the crash.
The first man is described as white, aged between 15 and 20, and around 5ft 10in tall and of slim build with brown hair. He was wearing a royal blue t-shirt and royal blue shorts.
The second male is described as being white, aged 15-20, with brown medium-length hair. He was wearing a black t-shirt and black shorts and dark trainers.
A Merseyside Police spokesman said: "Violet's pancreas and both kidneys were donated following her death. Violet's Nannie, Angela French, 55, remains in a serious but stable condition.
"An investigation into the incident remains underway and a number of lines of enquiry are being pursued by officers."
