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The Australian-born actress, 36, and her husband of 2 1/2 years, artist Andrew Taylor, welcomed their daughter at a Los Angeles hospital on Thursday. They expect to announce the baby's name early next week.
Mother and baby are doing fine and the family is "extremely happy," says her rep.
The new arrival weighed 8 lbs. and is the second child for the couple, who also have a 17-month-old son, Banjo Patrick – named for Australian poet Andrew Barton "Banjo" Paterson. (Husband Taylor is also from Down Under.)
HBO's Six Feet Under is currently in its fifth and final season. Griffiths's character is romantically involved with Fisher family member Nate, played by Peter Krause.
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