After months of speculation as to when the Duchess of Cambridge would give birth, The Duchess of Cambridge gave birth to a baby girl weighing 8lbs 3oz at 8.34am, just two and a half hours after the Duchess was admitted.

Unless the Queen had made changes to the rules in 2012, the Cambridges’ daughter would have not have been a Princess. Under the old rules, the baby would have been Lady Mountbatten-Windsor, because only the first-born son of a Duke of Cambridge was entitled to be called a prince.

But the Queen issued letters patent when the Duchess was three months pregnant with Prince George, declaring that “all the children of the eldest son of the Prince of Wales should have and enjoy the style, title and attribute of royal highness with the titular dignity of Prince or Princess prefixed to their Christian names or with such other titles of honour”.

Baby Cambridge might one day become Princess Royal, the title given to the eldest daughter of the monarch.

Prince George,  stole the show on his first “official” appearance in front of the public in Britain since the day after his birth, he waved obediently at his father’s command.

George toddled a few steps after William put him down on the pavement, then reached up to be picked up, and, wearing all blue like his father, waved to the gathering, screaming crowd across the road before posing on the steps and waving again, for which he earned a quick kiss from his father.

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Swaddled tightly in a white knitted shawl, her head protected from the May chill by a knitted cream hat, she lay perfectly still in her proud mother’s arms.

Standing on the steps of the Lindo Wing of St Mary’s Hospital, Paddington, where barely 10 hours earlier she had given birth to her daughter, the Duchess of Cambridge yesterday waved to the crowds who had gathered outside the hospital throughout the day.

Next to her stood the Duke of Cambridge, smiling broadly as he showed off his sleeping baby daughter to the banks of cameras opposite.

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Congratulations to the Royal family. We look forward to hearing what she will be named with high odds being on Anne or Diana.