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The baby, who weighed in at 7 lbs. 4 oz., was born on Friday in Los Angeles. Ava joins older brother Jackson James, who is 19 months old.
"Amy, James and Jackson are enjoying the new addition to their family," Acker's rep tells PEOPLE.
Acker, 29, played Winifred "Fred" Burkle on the WB's Buffy the Vampire Slayer spinoff Angel from 2001-2004. She also starred as Jennifer Garner's nemesis, Kelly Peyton, on Alias, and appeared on How I Met Your Mother and Supernatural.
Carpinello, also an actor, was most recently seen on the Tori Spelling show So NoTORIous.
JOSH & FERGIE: ROCKED BY SCANDAL
Did he cheat with a stripper?
Married less than a year, the couple denies an Atlanta woman’s claims that she and Josh had a fling
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