William and Kate back home with Britain's new princess

AFP Photo.

Prince William and his wife Kate were to spend their first day back home with their new baby daughter on May 3 as Britain celebrates the birth of a new princess.

The couple, their one-year-old son Prince George and the new arrival were to spend time relaxing together at their Kensington Palace apartment, the day after Kate gave birth to a baby girl born fourth in line to the throne.

The beaming Duke and Duchess of Cambridge left hospital on May 2 carrying their newborn princess in front of hundreds of cheering well-wishers and the massed ranks of photographers from the world?s media.

The sleeping baby was wrapped in a woolen shawl as a relaxed-looking Kate, 33, cradled her in her arms in front of the private Lindo Wing of St Mary?s Hospital in central London.

William, 32, then drove his wife and daughter the short distance to Kensington Palace after carrying the baby out in a car seat.

Britain was eagerly awaiting the announcement of the new princess?s Christian names.

Charlotte became the new favorite with the bookmakers on May 3, overtaking long-time favorite Alice.

Charlotte was trading at odds of around 3/1, followed by Alice at 4/1, Victoria at 5/1, Olivia at 6/1 and Elizabeth at 7/1.

The baby is the first princess born into the British royal family since Princess Eugenie, daughter of the queen?s second son Prince Andrew, 25 years ago.

British Prime Minister David Cameron led the congratulations.

?This is wonderful news and together with the whole of the country I want to give the warmest possible welcome to the new princess,? he told reporters.

?Kate and William are a remarkable couple. They?re loving, wonderful parents and this will be such a precious time. The...

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