Place the butter in the bottom of a 4 Quart Slow Cooker, or Crock-Pot, and let it melt.  When the butter melts, add the Rice, and stir the Rice, coating it in the melted Butter.  Add the milk, Sugar, Salt, Cinnamon, Vanilla, and Brown Sugar, and stir all ingredients to mix well.  Place the lid on the Crock-Pot, and cook on low for 3 to 4 hours, stirring occasionally.   When Rice is cooked, and the pudding is thick, it's done.  Turn off the Crock-Pot, and let cool for about 15 minutes.  Dish up into small dishes or Ramekins, sprinkle with Cinnamon, and serve.  Enjoy!