Rachel Dratch'Saturday Night Live' alum Rachel Dratch gave birth to a bouncing baby boy, Eli, on Tuesday, Aug. 24 in New York City.

"She's doing great and the baby's doing great," a source confirms to PEOPLE. "She's healthy and really happy!"

The identity of the father has not been revealed.

Earlier this year, Dratch said her pregnancy has a "crazy story" behind it but feigned from revealing much more than that. "I've always been kind of private," she said. "So then I'm like, 'Why do I need to tell people?' I would want to know but..."