'Cosby Show' Reunion: Bill Cosby And Tempestt Bledsoe Talk With Jimmy Fallon (VIDEO) 01/05/2013 11:23 am ET | Updated Mar 07, 2013. 960. It was a Cosby Show reunion on Late Night With Jimmy Fallon Friday when Bill Cosby and Tempestt Bledsoe, who played Vanessa Huxtable on the series, sat down on Fallon's couch.