The world doesn't know the name of the newborn princess, but here's how to address her

Credit: Chris Jackson/Getty

The world may not know the royal baby’s name yet, but we do know her title.

The newborn daughter of Princess Kate and Prince William will be addressed as Her Royal Highness, Princess of Cambridge.

The baby girl was born on Saturday just hours after Kate arrived at the private Lindo Wing in London’s St. Mary’s Hospital.

“Her Royal Highness, The Duchess of Cambridge was safely delivered of a daughter at 8:34 a.m. Her Royal Highness and her child are both doing well,” Kensington Palace Tweeted.

The birth of Prince George in 2013 saw a procession of visitors. But insiders tell PEOPLE the proud parents are expected to introduce the new princess in hours, even before some family members have met her in person.

The pair has spent the first few hours since the birth on the phone with friends and family, a source told PEOPLE.

And, a source says of the princess’s approaching debut, “It will be more low-key than last time.”

Leaving the hospital Saturday afternoon to pick up George, Prince William told the waiting press that he’s “very happy, very happy” at the birth of his new daughter.

Royal Baby Arrives: Kate Gives Birth to a Baby Girl

More on the New Royal Baby: