Cut the bacon into thirds and wrap each Smokie. Place all the wrapped Smokies in a single layer in a baking dish.
Melt the butter, then add 1 cup brown sugar and stir until mixed well and brown sugar is melted. Pour the butter and brown sugar mixture over the wrapped Smokies. Sprinkle the remaining cup of brown sugar evenly over the Smokies.
Bake for about 15 to 20 minutes, then turn the heat up to 400 degrees F for about 5 minutes or longer until the bacon becomes crispy.