The story in Henry Hatsworth is about of course a man named Henry Hatsworth who is look for a suit made of gold and to tell the truth I didn't finish the game so I can't comment on the story to much but I can comment on what I've played through.
Henry Hatsworth is a fun game that combines to unlikely gameplay styles, platformer and puzzle. I know that Braid did somewhat the same but unlike Braid, Henry is actually sorta two games in one. On the top screen there is a fairly fun but not to deep action platformer along the lines of Mario or Megaman and on the bottom there is a dumb down version of Bejeweled which is not great but passable. The presentation of Henry Hatsworth is really good for the DS, the graphics are great it's very colorful and the sound of the game is really good, only problem I have is when he specks it's like he specking The Sims language. Overall Henry Hatsworth is a great game and an incredible DS game. If your looking for a good game for the DS this is a good bet, if you don't have the money to buy it you should at least rent it.