Henry IV portraiture - guy with tea-towel on his head - or not?

a href="http://en.wikipedia.org/wiki/File:King_Henry_IV_from_NPG_(2).jpg" rel="nofollow"http://en.wikipedia.org/wiki/File:King_H…/a The Wiki page shows the conventional image of Henry IV of England, but I read somewhere - one of that series on the monarchs edited by Antonia Fraser? - that it is in fact a portrait of Charles V of France 1365-80, and there is no portrait of Henry IV. Which is true?