Catherine, Duchess of Cambridge, and Prince William, Duke of Cambridge, leave the Lindo Wing at St. Mary's Hospital in London with their daughter on May 2, 2015
Anwar Hussein—WireImage
May 4, 2015 3:29 AM EDT

Princess Charlotte has a certain ring to it. Or how about Princess Alice?

Britain’s newborn princess has spent her first night at home in London’s Kensington Palace, but the guessing game continues over what her name will be.

It’s possible she will be named Sunday by her parents, Prince William and the Duchess of Cambridge, but there’s no fixed timetable for the announcement.

Meanwhile, Britain’s legal bookmakers have been busy taking in thousands of bets for the baby’s name. For weeks, they have been saying that Alice is the clear favorite. But in recent days Charlotte, the feminine form of Charles, has become the front runner …

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