Leigh's rep tells People.com that the baby's name is Anniston Kae, and she weighs 7 lbs., 1 oz.
It's Leigh's third child with her husband, actor Nathan West.
Their other children are Noah Wilde, age 5, and Taelyn Leigh, age 2.
The baby comes a week after Leigh finished filming the 5th season of Grey's Anatomy
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