Writing on her Facebook page over the weekend, Jessica said:
"Hi everyone, hope you're enjoying the weekend. Cash and I are so excited to announce the birth of our daughter, Haven Garner Warren."
"She was born on Saturday, weighed 7lbs, and was 19 inches long. Healthy and happy! Big Sister Honor couldn't be more excited about the new addition to our family."
"Thank you for all of your support during my pregnancy. It means the world to me."
Fantastic Four star Jessica and husband Cash Warren married in 2008, a month before their first daughter, Honor Marie, was born.
So what do you think of the name? Quirky and original, or just plain crazy?