"I never would have guessed that would have been the name. But I was reading a book with my husband. I was three months pregnant and they (the book) said your baby is the size of an olive, and that was it. We never looked back. Once the light was shed, there was just no turning back." New mum Drew Barrymore fell in love with the name Olive early on in her pregnancy. The actress gave birth to her first child, daughter Olive Barrymore Kopelman, in September (12).