It’s clear, but I’d smooth out a few phrases and avoid “whom she holds dear in her heart”, which is redundant. Also, “great-grandmother” should only be stated if that’s explicitly confirmed in the source.
Here’s a more polished version:
Two weeks after the birth of her daughter, Princess Eugenie has revealed the name of the newest member of the royal family, offering a personal glimpse into the family’s happiness. The 36-year-old and her husband, Jack Brooksbank, have named their daughter Adelaide Elizabeth Annina Brooksbank. On Instagram, Eugenie shared new photos of the baby, including a sweet picture of the sleeping newborn and another showing her with her brothers, August, 5, and Ernest, 3.
Princess Eugenie Names Her Daughter Adelaide Elizabeth Annina
In her post, Eugenie also explained the meaning behind the name. “2 weeks ago today we welcomed our girl to the world. And since then we've had the most special, cosy and love-filled time,” she wrote.
She added: “We are so happy to share Adelaide Elizabeth Annina Brooksbank.”
The name pays tribute to three people who hold special meaning for the family, creating a deeply personal connection to the royal family’s history. One of the names is a tribute to the late Queen Elizabeth II, adding an especially touching element to the announcement.
Eugenie’s Daughter Changes the British Line of Succession
With Adelaide’s birth, the family has grown—and so has the British line of succession. Adelaide is now 15th in line to the throne, following her older brothers, August and Ernest. Princess Eugenie remains 14th in line, while her father, Prince Andrew, is 8th.
The new arrival also moves other members of the royal family down one place in the succession.
A Wedding in 2018 and a New Chapter for the Family of Five
Eugenie and Jack Brooksbank have been married since October 2018. Although Eugenie, the daughter of Prince Andrew and Sarah Ferguson, is a member of the royal family, she does not carry out official duties as a working royal. Her older sister, Princess Beatrice, also does not have a formal role as a working royal.
With Adelaide’s arrival, Eugenie and Brooksbank are now a family of five. The baby’s middle name, Elizabeth, adds an especially meaningful connection to the late Queen Elizabeth II and keeps her memory alive within the family.