The star's rep tells People.com, "Eloise Joni Richards is named after Denise's mom (Joni), and Denise and her daughters Sami and Lola chose the name Eloise. Denise and Eloise's big sisters couldn't be happier and feel incredibly blessed."
She writes on her Twitter.com page, "Thank you all for your sweet messages. The girls and I are over the moon and so is my dad Grandpa Irv...xo"
Denise Richards' mum Joni passed away in 2007 after a battle with cancer. The beauty, 40, was married to troubled Charlie Sheen from 2002 to 2006.