Rachael Leigh Cook\'s husband, actor Daniel Gillies, announced on Twitter the U.S. actress gave birth to their first child, a daughter. \"It\'s a girl. The tiny new empress of my everything . She\'s immaculate. We\'re delirious,\" Gillies tweeted Sunday. He did not mention the child\'s name or exactly where and when she was born. Cook, a cast member of the TV series \"Perception,\" married Gillies, star of \"The Vampire Diaries,\" in 2004.