Introducing Burke, Williams said: "Really, the most exciting thing is I thought I'd have to raise my daughter to learn to protect herself in a dangerous world".
She add that "because of Tarana" she had more hope for the future.
She said: "We have the opportunity to hand our children a different world."
Many, including Kiwi actress Melanie Lynskey, took to Twitter to say the interview had them in tears.
Watson gave the spotlight to her date Marai Larasi, who praised the actress' efforts.
She said: "There's something about women in Hollywood speaking out. There is a wall of silence…and every time someone speaks out it creates a bit of a crack in that wall.
"Women in Hollywood have an opportunity to amplify the issues and shine a light on things. It is a critical moment, there's this fantastic platform and we're trying to use it in the best way we can."
Today's Golden Globes ceremony kicks off at 2pm by host Seth Myers.