Gregory gave birth to the baby, whom she and Rhett named Ada James Akins, on August 12, reported Us weekly.
The couple also shared the happy news on Instagram.
"Our baby girl is here. Sweet Ada James Akins came into the world after almost 36 hours of labour (only Jesus got me through that- and she is sooo worth it).
"She weighs 7 pounds 3 ounces and is so stinking cute I just can't take it! We are all doing well now, just resting. Thank y'all for your prayers-she is a miracle and God is so good," Lauren captioned a sweet photo that showed the couple with their newborn.