Iris Mary Redmayne was born on June 15, his publicist has confirmed to English newspaper The Sun after an announcement was printed in London broadsheet The Times.
Eddie, 34 and Hannah, 33, met when they were in high school. Eddie attended the prestigious Eton College where Prince William was a classmate, whilst Hannah attended a nearby all-girls school.
Friends for 12 years before they started dating, the private couple married in Somerset on December 15, 2014, the same year Redmayne won the best actor Oscar for his portrayal of scientist Stephen Hawking in The Theory of Everything.
The British pair announced they were expecting their first child in January 2015, with Redmayne (who called his wife "an absolute wonder") saying what surprised him most about gearing up for the baby was "pretty much every element of it. We started looking at logistics of all the things we need before we get to the hospital—and it's a long list."
Speaking to E!'s Ryan Seacrest, former antiques dealer Bagshawe said her first pregnancy was "unbelievable. So much has happened we can't even compute."