Of interest to me
The newly born princess will one day be eligible to be styled as Princess Royal, a title currently held by Queen Elizabeth's daughter Anne.
"The Daughter of the Duke and Duchess of Cambridge, as the eldest daughter of a future monarch, would be the next eligible for the title, upon the death of her great-aunt and her father's ascension to the throne"
I wonder if her name will follow some of the royal ancestors who held that title
Mary, Princess Royal 1642–1660
Louisa Maria Teresa Stuart( Disputed) 1692-1712
Anne, Princess Royal 1692-1712
Charlotte, Princess Royal 1789–1828
Victoria, Princess Royal 1841–1901
Louise, Princess Royal 1905–1931
Mary, Princess Royal 1932–1965
Anne, Princess Royal 1987–present