This sketch was performed on stage for an AIDS benefit concert directed by Stephen Fry on September 18, 1989. Rowan Atkinson's character is unnamed, but from the look of him, it seems he's a member of the Blackadder family. The other character, whom you will know, was played by Hugh Laurie.
A full transcript of the sketch can be found at http://www.blackadderhall.com
Tags: Blackadder Shakespeare Baldrick Rowan Atkinson Hugh Laurie Stephen Fry