Princess Eugenie has revealed the name of her baby daughter and shared intimate new photos of her third-born child.

The latest addition to the royal family was born on August 3 in Lisbon, Portugal, weighing 2.98 kilograms.

Eugenie revealed she had named her daughter Adelaide Elizabeth Annina Brooksbank.

The name was in tribute to “three people we love and admire past and present”, including Adelaide’s late great-grandmother Queen Elizabeth II.

The name also reflected both English and Portuguese history — “two places we love and call home”.

Eugenie and husband Jack Brooksbank’s daughter is a younger sibling to the couple’s two sons August and Ernest, known as Augie and Ernie.

The name Adelaide is understood to have been inspired by Queen Adelaide (1792-1849), who was married to King William IV, as well as Maria Adelaide of Portugal.

Annina was inspired by a personal connection to Eugenie and Jack, which has not been revealed.

Adelaide’s birth was a rare occasion where a member of Britain’s royal family has been born overseas, with Eugenie and her husband having a home and other connections in Portugal.

Eugenie wrote on Instagram as she shared new photos of Adelaide: “Two weeks ago today we welcomed our girl to the world. And since then we’ve had the most special, cosy and love-filled time.

Princess Eugenie shared a photo taken by her husband after the birth.

“We are so happy to share Adelaide Elizabeth Annina Brooksbank.

“Named after three people we love and admire past and present, including her great-grandmother who we hold close in our hearts.

“Her name is part of English and Portuguese history, two places we love and call home.

“Augie and Ernie are already the best big brothers.”

-with AAP