Royals Kate Middleton and Prince William 'Overjoyed' by Pippa Middleton's Baby News Pippa and James Matthews welcomed their second child, a baby girl, on Monday By Stephanie Petit Stephanie Petit Stephanie Petit is a Royals Writer and Reporter at PEOPLE. People Editorial Guidelines Published on March 15, 2021 03:35 PM Share Tweet Pin Email Kate Middleton and Prince William are an aunt and uncle again! The royal couple are "overjoyed" by the arrival of Kate's younger sister Pippa Matthews' second child, a little girl named Grace Elizabeth Jane. A source close to the couple tells PEOPLE, "The Duke and Duchess are absolutely overjoyed by the happy news." Grace Elizabeth Jane was born around 4.22 a.m. this morning, weighing 6lbs, 7oz. Mother and baby are doing well, a family source tells PEOPLE. "She's perfect, everyone is overjoyed at such a happy arrival," the source adds. Carole Middleton Confirms Kate's Sister Pippa Middleton Is Pregnant with Second Child Pippa Middleton, Kate Middleton and Prince William in 2011. KIRSTY WIGGLESWORTH/AFP via Getty Pippa and James Matthews' newborn daughter shares a middle name with her aunt Kate, who was born Catherine Elizabeth Middleton. (She also shares the name of Kate's grandmother-in-law, Queen Elizabeth!) Get the premiere issue of PEOPLE Royals for glamorous new photos and inside stories royals fans haven't seen or read elsewhere! Subscribe at peopleroyals.com/launch Kate Middleton And Pippa Matthews. Karwai Tang/Getty Pippa, 37, and James, 45, welcomed their first child in Oct. 2018. Pippa followed in the footsteps of her royal sister by giving birth in the Lindo Wing of St. Mary's Hospital — the same place where Kate and Prince William welcomed all three of their children. Their baby girl is the fifth grandchild for Carole and Michael Middleton and a little cousin for Prince George, 7, Princess Charlotte, 5, and Prince Louis, 2. James Matthews, Pippa Middleton and Kate Middleton. Kirsty Wigglesworth/AP Carole, who was recognized by Kate and Prince William while celebrating Mother's Day in the U.K. over the weekend, recently described herself as an active influence in her grandchildren's lives, something she hopes will continue. "I want to run down the hills, climb the trees and go through the tunnel at the playground," she says. "I cook with them, I muck around dancing, we go on bike rides." Pippa Middleton Reveals Her 'Saving Grace' While Raising Son Arthur Discussing life after lockdown and her hopes for the year ahead, the grandmother said: "I also hope to see more of my family than I could last year, including, of course, my new grandchild." Can't get enough of PEOPLE's Royals coverage? Sign up for our free Royals newsletter to get the latest updates on Kate Middleton, Meghan Markle and more! There's also more excitement in the Middleton family — Kate and Pippa's brother James got engaged to girlfriend Alizee Thevenet last year. They decided to postpone their wedding scheduled for May 2020 due to the ongoing coronavirus pandemic.