November 17, 2012 07:00 PM

Claire Greenway/Getty

Update: The couple have named their son Rocky James Prinze, a source close to the family confirms to PEOPLE. He was born on Wednesday, Sept. 19 at 4:13 p.m.

Originally posted Sept. 24: Hello, little Prinze.

Sarah Michelle Gellar “had a baby boy last week in Los Angeles,” her rep tells PEOPLE.

She and husband Freddie Prinze Jr. “are thrilled to announce” the news, the rep confirms to Access Hollywood, adding that “mother and baby are doing great.”

The newborn joins the couple’s daughter Charlotte Grace at home.

Their 3-year-old, who was spotted out with a still-pregnant Gellar last Tuesday, “is very excited to be a big sister,” the rep adds.

“They are thrilled that Charlotte [has] a little brother,” a source close to the couple told PEOPLE in July.

“They love their little girl more than anything in the world and know that love will only multiply.”

Gellar, 35, and Prinze, 36, were married in September 2002.

— Sarah Michaud with reporting by Charlotte Triggs

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