Willow, who was born 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."