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Fashion designer Stella McCartney has given birth to a daughter, Bailey Linda Olwyn Willis, PEOPLE has confirmed.
The baby, born on Dec. 8 in London, weighed 7 lbs., 14 oz.
This is the second child for McCartney, 35, and her husband of three years, former magazine publisher Alasdhair Willis, 36. They have one son, Miller, who turns 2 on Feb. 25.
Bailey is also the fourth grandchild for Paul McCartney. Stella's mother, Linda McCartney, died of breast cancer in 1998.
Like her mother, Stella McCartney is a tireless animal-rights crusader who recently criticized fellow designers for using fur. She is working on launching an organic skin-care line.