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It's a Baby Girl for Rachel Griffiths

Friday June 24, 2005 03:00 PM EDT

It's a Baby Girl for Rachel Griffiths | Rachel Griffiths

Rachel Griffiths and Andrew Taylor

Jeff Kravitz/FilmMagic

Six Feet Under star Rachel Griffiths – who plays former wild child Brenda – is a mom again, her publicist tells PEOPLE exclusively.

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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