Prince Harry, and Meghan Markle's daughter, Lilibet, gained the right to be called "Princess." She had that title after the arrival of King Charles III to the throne.
Buckingham Palace listed updates of the line to the throne after Prince Harry's children gained the titles, especially after the Christening event of Lilibet early this month.The christening was presided over by Right Reverend John Harvey Taylor, the Bishop of Los Angeles.
According to PEOPLE, King Charles III, Queen Camilla, the Prince of Wales William, and Princess of Wales Kate Middleton were invited to the event but none of them attended.
However, the children will not be able to represent themselves as HRH as this right comes from their father, who stopped using this right after stepping back from being a working Royal.
Duke and Duchess of Sussex's, Prince Harry and Meghan Markle, newborn daughter, Lilibet, was officially listed on the Royal Line of Succession seven weeks after her birth
She is the seventh into the line to the throne after her brother Archie.
Regarding the line of succession, Prince William came at the top of the list under the title of the Prince of Wales, followed by his children: George, Charlotte, and Louis. Next comes Prince Harry followed by his son Archie, before Lilibet.