Burrows and wife Alison Balian are also parents to a 3-year-old son. The couple takes pride in their privacy, with the Law & Order: Criminal Intent alum even waiting 16 months to reveal that she was married.
Speaking with The Guardian in 2014, Burrows revealed that she and Balian, a writer for The Ellen DeGeneres Show had eloped. "We hadn't told anyone and then I called my mum and she said, 'You haven't eloped! You only elope when you're young and in trouble!'" she said with a laugh.
In line with her private lifestyle, Burrows' Instagram feed is only updated sporadically, though she did share a pic of her baby bump after proudly voting for Hilary Clinton in the presidential election last November.
Though Burrows was born in London, she splits time between the U.K., Los Angeles and New York City, where Mozart is filmed. Luckily, her family lives with her while filming, with her son getting to visit her on set and join her for cello practice at home. "I feel fortunate at the moment that I have a job where some of it can overlap into my family life," she told ET earlier this month.
Little Daisy isn't the only famous offspring to join the world recently! Actress and comedian Felicia Day welcomed daughter Calliope Maeve this week as well. Find out more about the newborn in the video below.