"We are overjoyed to announce the birth of our daughter Carmen Gabriela. She is absolutely perfect," Hilaria wrote Friday evening. She followed up Saturday with thanks "for all the sweet congratulations and wishes! We are so happy with our little Carmen."
The due date was toward the end of this month, though the yoga instructor's big baby bump had some speculating the little girl would arrive a bit early, the New York Post reported.
Alec, 55, and Hilaria, 29, were married in July 2012. Carrying a bunch of bags, he arrived before her at the hospital, E! News reported.
Half-sister Ireland Baldwin, Alec's 17-year-old daughter with Kim Basinger, took time to write an open letter titled "Happy Birthday" on her Tumblr account, offering advice to the newborn on the following topics: "Remember that your parents will always love you; Walk away; Enjoy your childhood and your teenage years; You are beautiful; Alcohol, weed and parties, oh my; Don't say yes to everything; Tell the truth; Be careful who you trust; School is cool; and Dun dun duuuuuuuuuuuuun ... boys."
"I love you, Carmen," she said in closing. "You have been born into one crazy family. You are both lucky and cursed at the same time. We are going to have so fun much fun together. I can't wait to meet you soon. I promise you I will always be there for you no matter what! Never forget!
Carmen Gabriela Baldwin — what do you think of the name?