Grayson's campaign is highlighting the fact that Webster opposes abortion, even in cases of rape, and is the member of a fundamentalist religious organization that advocates female submissiveness to husbands.
During the exchange, Cooper tried to pin Grayson down on whether it was appropriate of him to selectively edit Webster's words to make it look like he publicly called for wives to submit themselves to their husbands.
"What I'm trying to do is to point out in a vivid way that this is somebody with an 18th century name and a 13th century conception of how women should live in America," Grayson said. "[T]he term that you used last week is that we cleverly edited it. And I will let other people decide whether that was clever or not."
Watch the exchange below.