The 37-year-old actress and her husband Will Kopelman welcomed their daughter Olive into the world 10 weeks ago and the 'Big Miracle' actress has revealed she was inspired to pick the moniker when she was in the early stage of her pregnancy.
Speaking on 'The Ellen DeGeneres Show', she said: "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 said your baby is the size of an olive, and that was it. We never looked back."
Ellen then joked: "It could have been the size of a peanut or a grapefruit."
Drew replied: "It could have been. It was a lot fruit and vegetables."
The 'Going the Distance' star did consider a number of names, but as soon as they thought of Olive, they didn't deliberate anything else.
Drew explained: "We were shopping a few [names] as all people do who are so blessed to get to do this. And then once the light was shed, there was just no turning back."