Los Angeles, Nov 26 : Socialite Paris Hilton, who shares 10-month-old Phoenix with husband Carter Reum and announced that they welcomed daughter London, is thrilled to become a parent once again. "Paris and Carter are thrilled to welcome London into their family. They have always wanted a little girl," a source told UsWeekly. The former 'Simple Life' star initially sparked speculation that she had become a mother for the second time earlier this week when posted a picture of a pink outfit emblazoned with the word 'London' - which she has repeatedly said she would choose as a name if she had a little girl - alongside a pair of tiny red sunglasses and a teddy bear. She captioned the post: "Thankful for my baby girl." And amongst the photos from her Thanksgiving celebrations shared to her Instagram Story, Paris also posted a picture of Phoenix which was captioned, "The big brother." The socialite previously revealed she had always wanted a daughter named after the English capital. Speaking on a 'This is Paris' podcast titled "This is' I'm Pregnant??" before she had her son, she said: "One day I want to have a little girl, and I want to name her London. That's always been my dream ever since I was a little girl, because I just love London and Paris together." "For a boy, I want to name him after a city or a country or a state as well. I have a name, but I'm not going to say it yet - I want to keep it a surprise, and I don't want anyone stealing my baby name for that one. I've said London for a long time so I can't really hide that one now." When she confirmed Phoenix's name, she admitted she had chosen a moniker that would complement London. Speaking on her podcast, she revealed an excerpt from her upcoming memoir "Paris", reports aceshowbiz.com. "If all goes well, by the time you read this, Carter and I will have a baby boy. We plan to name him Phoenix, a name that I decided on years ago when I was searching cities, countries and states on a map looking for something to go with Paris and London." "Phoenix has a few good pop culture reference points, but more importantly it's the bird that flames out and then rises from the ashes to fly again. I want my son to grow up knowing that disaster and triumph go around and come around throughout our lives. And that this should give us great hope for the future." /IANS