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LONDON (CNN) — As a nation and the world awaited news of a child who could one day sit on the British throne, Catherine, Duchess of Cambridge, was experiencing a normal labor Monday morning, Kensington Palace said.

The duchess and Prince William, Duke of Cambridge, traveled by car from Kensington Palace to the Lindo Wing at St. Mary’s Hospital, his office at Clarence House announced at 7:37 a.m. local time. Kensington Palace issued a progress report about 90 minutes later.

The hospital, next to Paddington Station in London, is where William and his brother Prince Harry were born.

The duchess’ mother, Carole Middleton, is expected to be on hand at the hospital.

The baby’s name will not be announced when its sex and birth weight are posted on a notice board at Buckingham Palace, a Kensington Palace spokesman said.

It may be announced when the family leaves the hospital, CNN royal correspondent Max Foster reported.

The child’s title will be His or Her Royal Highness Prince or Princess (the baby’s name) of Cambridge, St. James’s Palace said this month.

British bookmakers favor the names Alexandra, Charlotte, Elizabeth, Victoria, Grace, James and George. The field is open for both boys and girls names because royal sources said the parents did not want to know their child’s sex in advance.

Some British parents have delayed naming their newborns in recent days in hopes of either copying or avoiding the royal name.

Protocol dictates that the first to know about the arrival of the baby will be Queen Elizabeth II, Prime Minister David Cameron and the governors general of each of the commonwealth nations — along with the rest of the royal and Middleton families.

British Prime Minister David Cameron sent his “best wishes,” to the Duchess of Cambridge during her labor, saying “everybody is hoping for the best.”

Home Secretary Theresa May has said she won’t be at the birth. Centuries ago, “the home secretary had to be there to evidence that it was genuinely a royal birth and that a baby hadn’t been smuggled in,” May explained. But she said that tradition is now defunct.

Justin Welby, the archbishop of Canterbury and head of the Church of England, tweeted: “My thoughts and prayers are with Kate and the whole family on this enormously special day.”

The baby will be third in line for the throne now occupied by the queen. Her son, Prince Charles, would succeed her, followed by his son, William.

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 will be the same regardless of sex.

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 — so many people there will also be waiting for news of the birth of their future sovereign.