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William, who was born last Friday in Los Angeles, weighed in at 8 lbs. and 12 oz.
"Both mother and son are doing well," Parker's publicist tells PEOPLE.
Parker, 34, plays Deadwood's Alma Garret, a New York society woman who reinvents herself in a 19th-century South Dakota town. Recently she co-starred with Ben Affleck and Diane Lane in Hollywoodland.
Up next for the actress: her husband directs her in the upcoming drama, Who Loves the Sun.
