Oberon character in Avalon
Note - it's Oberon rather than Morgana who does not open his eyes during the reveal phase at the start of the game.

The rules say:


  Without revealing any Character cards, the Evil players discuss and the player with the Assassin character card will name one Good player as Merlin


So no character cards should be revealed, however the player who is Oberon can join in the discussion. 

It's not really explicit whether or not a Good player could claim to be Oberon at the end of the game to try and confuse the Assassin.