By Laura Smith-Spark and Dana Ford, CNN
All eyes are glued Tuesday to the hospital where Catherine, Duchess of Cambridge, and husband Prince William welcomed their first child, as a joyful public waits for its first glimpse of the new royal heir.
The baby boy was born at 4:24 p.m. on Monday, weighing 8 pounds, 6 ounces. A name has not yet been announced for the child, who is third in line to the throne.
The royal couple remained in the private Lindo Wing of St. Mary’s Hospital in London overnight but hopes were high that they’d make an appearance as early as Tuesday.
If so, they will likely appear holding their son on the same steps where Diana, Princess of Wales, and Prince Charles gave the world its first sighting of Prince William 31 years ago.
William and Catherine thanked staff at the hospital “for the tremendous care the three of us have received,” in a statement issued via Kensington Palace Tuesday.
“We know it has been a very busy period for the hospital and we would like to thank everyone — staff, patients and visitors — for their understanding during this time,” they said.
A Kensington Palace spokesman said: “Mother, son and father are all doing well this morning.”
The queen’s gynecologist, Marcus Setchell, is at the hospital carrying out medical assessments of Catherine following the birth, Kensington Palace said earlier.
Meanwhile, guardsmen at Buckingham Palace played the Cliff Richards song “Congratulations” to mark the birth of the royal baby at the Changing of the Guard. The military ceremony, much beloved of tourists, involves a new guard exchanging duty with the old guard in the palace forecourt.
Crowds were gathered again outside the palace, a day after they thronged there to see the formal notice announcing the baby’s birth.
Multigun salutes will also be held on Tuesday afternoon to welcome the new royal heir. The King’s Troop Royal Horse Artillery in Green Park is expected to release 41 rounds, while the Honorable Artillery Company at the Tower of London will sound 62 rounds.
The bells of Westminster Abbey, where William and Kate were married a little over two years ago, will peal for over three hours, in keeping with royal tradition.
It’s not yet known where William and Catherine will take their baby after their discharge from hospital, but it may be hard to escape the world’s interest.
The news of the boy’s birth, announced about four hours after the event Monday, prompted cheers and celebrations among the crowds of well-wishers outside Buckingham Palace. At least one group of well-wishers brought flowers, champagne and a card for the Duke and Duchess of Cambridge.
Social media networks were also abuzz with the news, which made headlines around the world.
‘We could not be happier’
The new parents spent some time with their baby before calling family members — starting with the queen — to announce the birth, a Kensington Palace source told CNN royal correspondent Max Foster.
“We could not be happier,” said Prince William, according to the Kensington Palace source.
Prince William remained at Catherine’s side throughout the labor and the baby was born naturally, not via a C-section, the source said.
“Her Royal Highness and her child are both doing well,” read an official bulletin placed on a gilded easel outside Buckingham Palace, where the queen had returned Monday afternoon.
The celebrations for the arrival of the new prince — whose title will be His Royal Highness Prince (the baby’s name) of Cambridge — were hard to miss in the capital.
The fountains at Trafalgar Square were dyed blue, the BT Tower, a London landmark, flashed the words “It’s a boy,” and the London Eye was illuminated in patriotic red, white and blue.
Further afield, Canada — where the British monarch is head of state — turned its side of the Niagara Falls blue to mark the birth, and the CN Tower in Toronto was lit up the same color.
Betting on a name
The baby is third in line for the throne now occupied by the Queen Elizabeth II. Her son, Charles, will succeed her, followed by his son, William.
Many bets are being placed as the wait continues for the baby’s name to be announced. British bookmakers Ladbrokes have James as favorite, followed by Henry and George, Philip, Alexander and Richard.
The baby’s name may be announced when the family leaves the hospital, CNN’s Max Foster reported. Prince William’s name was announced a few days after birth, his brother Harry’s on departure from hospital.
Some British parents have delayed naming their newborns in recent days in hopes of either copying or avoiding the royal name, he said.
It was a long wait for the media camped outside St. Mary’s Hospital, but when the news of the birth finally came, the excitement of the moment was huge.
The Sun newspaper, Britain’s bestselling tabloid daily, changed its masthead Tuesday to “The Son” to mark the occasion, above a picture of the official birth announcement, while the Daily Express and Telegraph emblazoned “It’s a boy” across their front pages.
Members of the royal family also expressed their happiness at the safe delivery.
“Both my wife and I are overjoyed at the arrival of my first grandchild. It is an incredibly special moment for William and Catherine, and we are so thrilled for them on the birth of their baby boy,” Prince Charles and wife Camilla said in a statement.
The official British Monarchy twitter feed said: “The Queen and Prince Philip are delighted at the news of the birth of The Duke and Duchess of Cambridge’s baby.”
Charles Spencer, brother to the late Diana, Princess of Wales, welcomed the birth of the baby. “We’re all so pleased: it’s wonderful news,” he said in a written statement.
“My father always told us how Diana was born on just such a blisteringly hot day, at Sandringham, in July, 1961. It’s another very happy summer’s day, half a century on.”
“I’m sure that right across the country and indeed right across the commonwealth, people will be celebrating and wishing the royal couple well,” said British Prime Minister David Cameron.
“It is an important moment in the life of our nation, but I suppose above all, it’s a wonderful moment for a warm and loving couple who got a brand new baby boy,” he said.
Tributes around the world
Thanks to a change agreed by the leaders of the Commonwealth countries in 2011 and passed into law this year, the baby’s place in the order of succession would have been the same regardless of gender. Previously, boys automatically trumped female siblings, so a first-born daughter could be pushed out of line by a younger brother.
The British monarch is also head of state in 15 Commonwealth countries, including Australia, Canada, New Zealand, Belize and Jamaica.
Canadian Prime Minister Stephen Harper offered his country’s congratulations on the birth of a future king.
“The arrival of the newest member of the Royal Family, a future Sovereign of Canada, is a highly anticipated moment for Canadians given the special and warm relationship that we share with our Royal Family,” he said in a statement.
Barack and Michelle Obama also gave their best wishes.
“The child enters the world at a time of promise and opportunity for our two nations,” the president and first lady said in a statement. “Given the special relationship between us, the American people are pleased to join with the people of the United Kingdom as they celebrate the birth of the young prince.”
And Japanese Prime Minister Shinzo Abe said: “It is a happy, wonderful news for the United Kingdom as well as the world. I would like to send my heartfelt congratulations.”
Russia’s President Vladimir Putin congratulated the queen on the birth of her great-grandchild and sent wishes of good health to the family, in a statement on the Kremlin website.
The royal birth is expected to be good for business.
The UK-based Centre for Retail Research estimates retailers will sell $121 million worth of royal-related baby toys and souvenirs. Merchandise ranges from diaper covers and clothing to a “prince potty chair,” which of course is in the shape of a throne.
On Twitter, topics related to the royal baby jumped to the top of the trending list in the United Kingdom Monday morning. Worldwide, hashtags such as #RoyalBabyBoy and #Will & Kate were trending later in the day.
Facebook registered more than 3.5 million mentions related to the royal baby since Catherine was admitted to the hospital early Monday, with traffic peaking in the minutes after the birth was announced.
In a nod to modern times, Clarence House called for people to send news and images of any other new arrivals using the hashtag #WelcometotheWorld.
CNN’s Sarah Aarthun, Zarifmo Aslamshoyeva, Susannah Palk and Alla Eshchenko, and journalist David Simpson contributed to this report.
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