Update: The couple have named their son Oliver Finlay Dallas, PEOPLE confirms via the birth certificate. TMZ was first to report the news.
Originally posted May 30: Is Ginnifer Goodwin the fairest mom of them all?
“Thanks for all the well wishes about our new baby boy,” Dallas, 32, Tweeted Tuesday. “We are in LOVE! He’s our favorite person.”
“Both mom and baby are doing great,” their rep tells PEOPLE.