
Cash - who was spotted on Friday taking birthing balls into hospital - was seen bringing food into the maternity ward, while Jessica's father was overheard saying, "She's beautiful".
Honor Marie Warren was born June 7 in Los Angeles, her rep, Brad Cafarelli, confirms. This is the couple's first child.
The 27-year-old Hispanic actress recently said she was excited about welcoming her "brown baby" into the world, but has now explained the remark.
She said: "I mean - my dad is dark-skinned, Mexican, Cash's daddy is dark-skinned, African-American, and our moms are both white. So there's a 50-50 chance of our kid coming out dark or light. It would be nice if the daddies can see themselves in our baby!"
Jessica also revealed she has decked out the baby's nursery with some expensive ornaments, including a chandelier.
She added: "I got a really beauti-ful chandelier!"