PICS: Sienna Miller, Tom Sturridge Snuggle Baby Marlowe

Sienna Miller, Tom Sturridge and baby Marlowe have breakfast in London, England on August 27, 2012. Credit:

Baby love!

Sienna Miller and fiance Tom Sturridge stepped out in London on Monday morning for some breakfast with their one-month-old daughter, Marlowe.

The happy new parents shared a romantic kiss -- and gushed over their beautiful baby girl -- while enjoying their meal.

Sturridge, 26, had Marlowe strapped securely to his chest in an Ergobaby Carrier in their Original Carrier in Camel while sitting at the table reading a newspaper. Miller, 30, checked on her sleeping daughter between bites. The couple both wore sunglasses during breakfast, and Sturridge also wore a hat.

The British stars have been dating for over a year and Marlowe is the first child for each.

Us Weekly spoke with the new mom earlier this month via telephone at HBO's Summer Television Association panel in Beverly Hills. "She's so cute," The Girl star said of Marlowe. "She's screaming upstairs. My brain doesn't work."