Princess Beatrice and her husband Edoardo Mapelli Mozzi welcomed their baby girl on Saturday, September 18. The royal baby is now 11th in line to the throne behind her mother, who is the eldest daughter of the Queen's son, Prince Andrew, and his ex-wife Sarah Ferguson, the Duchess of York.
The full name of Princess Beatrice's daughter has not been announced yet.
But amid much speculation, there is a good chance Beatrice's baby girl will have her father's surname of Mapelli Mozzi.
Beatrice's sister, Princess Eugenie, welcomed her first child with her husband Jack Brooksbank in February of this year.
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The couple's son has his father's surname and is named August Philip Hawke Brooksbank.
Despite being the daughter of a Princess, Eugenie's son is not entitled to a Prince title under the royal rules.
Only the children of the monarch and the grandchildren through the male line are entitled to Prince or Princess titles.
So it is likely that Princess Beatrice's baby girl will also share her father's surname, and will not have a Princess title either.
It is highly unlikely that Princess Beatrice's baby girl will have a British royal title when her name is announced.
However, she does technically have a title through her paternal family.
Edoardo Mapelli Mozzi's father, Count Alessandro Mapelli Mozzi, is descendent from Italian aristocracy.
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As a result, Edoardo is a Count and Beatrice became a 'Contessa' or 'Nobile Donna' when she married Edoardo last year.
For this reason, Edoardo and Beatrice's baby will also have a courtesy Italian aristocratic title.
Count Alessandro Mapelli Mozzi previously told the MailOnline: "Edoardo is the only male descendent taking the family into the next generation.
"He is a Count – his wife will be a Countess automatically and any of their children will be counts or nobile donna."
Edoardo has another child, a boy known as Wolfie, from a previous relationship.
A statement from Buckingham Palace revealed the couple are looking forward to introducing their baby girl to her big brother.
The statement read: "The new baby’s grandparents and great-grandparents have all been informed and are delighted with the news.
"The family would like to thank all the staff at the hospital for their wonderful care.
"Her Royal Highness and her child are both doing well, and the couple are looking forward to introducing their daughter to her big brother Christopher Woolf."