'Everyone is doing great,' Monaghan's publicist, Ms Jennifer Allen, said on Friday.

Willow, who was born on Wednesday, is the couple's first child. The 32-year-old Monaghan married White, a graphic designer, in August 2005. They began dating after meeting in a New York City bar.

Monaghan co-stars with Shia LaBeouf in the thriller Eagle Eye. Her screen credits also include Made of Honor, Gone Baby Gone, Mission: Impossible III, North Country, Mr & Mrs Smith, Kiss Kiss Bang Bang and Constantine. -- AP