DEAN: She’s not going with you.
JESS: Really, is that true?
DEAN: Yes, it’s true.
JESS: Excuse me Edgar Bergen, I think I’d like Charlie McCarthy to answer now.
Edgar Bergen, born Edgar Berggren (1903-1978), actor, comedian, vaudeville star, and radio performer. He was best known as a highly skilled and successful ventriloquist, working with a dummy called Charlie McCarthy. Their routines were very witty, and rather cheeky, with Charlie getting away with saying things that a person never could. Incidentally, Edgar was the father of actress Candice Bergen.
Jess is obviously saying that Dean is speaking for Rory, as if she is his puppet.