UPDATE TUESDAY:
The new Princess of Cambridge has been given a name that is a nod to history and to the "people's princess".
The Duke and Duchess of Cambridge announced on Monday that they have named their daughter Charlotte Elizabeth Diana.
The baby will be known as Her Royal Highness Princess Charlotte of Cambridge.
Charlotte is a name with significant royal history. George IV's only child was Charlotte, who died in childbirth at 21. George III's wife was Queen Charlotte, born in 1744.
Elizabeth and Diana, of course, are a nod to the new princess's great-grandmother and grandmother.
Elizabeth is also the middle name of both mum Kate and grandmother Carole Middleton.
The name may prove a costly one for bookies, after a last minute flurry of bets on Charlotte over the weekend.
According to some reports, they face a potential seven-figure payout to punters.
Both Ladbrokes and Paddy Power had the name at 3/1, level with Alice, the previous favourite. One bookie even suspended bets on Charlotte at the weekend after the peak of interest.
What do you think of the name choice?
SUNDAY STORY
Royal baby: Kate Middleton and Prince William leave hospital with new baby girl
The world has had its first glimpse of Prince William and Kate's new baby girl, with the trio posing for photographers before leaving St Mary's hospital in London.
The royal couple and their new bub left the private Lindo Wing on Saturday evening (Sunday morning AEST) less than 10 hours after Kate gave birth at 8.34am local time.
The new princess - who is fourth in line to the British throne - was wrapped in a white shawl and was wearing a cream baby hat for her first public appearance.
Kate carried her daughter out of the Lindo Wing's front door before posing for a few minutes with William.
The Duchess was wearing a yellow and white summer dress and high heels.
Prince William was dressed in a white shirt, a blue v-neck jumper and dark blue slacks.
After waving to supporters the royal couple returned inside before re-emerging minutes later with William carrying the newborn princess in a baby carrier.
He put his daughter in the back of a black Land Rover before the Cambridges drove off to Kensington Palace.
Kate gave birth to a daughter weighing 3.7kg less than three hours after she was admitted to hospital at 6am.
In the afternoon, the Duke left St Mary's briefly to pick up Prince George at Kensington Palace before returning to introduce the 21-month-old future king to his baby sister.
He carried Prince George on one arm and waved to supporters.
The little prince waved too. He was dressed in matching white and blue.
Prince George left the Lindo Wing quietly through a back entrance sometime before William, Kate and his new baby sister departed about 6.15pm local time.
Saturday's posing on the hospital steps was reminiscent of July 2013 when the Cambridges showed off Prince George for the first time.
There were also echoes of 1982 when, at exactly the same spot, Princess Diana stood holding the infant duke alongside husband Prince Charles.
AAP
