Spread the saltines evenly on a cookie sheet. Fold each piece of cheese into quarter sections. (Fold each piece in half, and then fold the half piece in half.) Place each quarter section of cheese on top of a saltine.
Top each cheese topped saltine with 1/2 tsp. brown sugar. Tear each marshmallow in half and place on top of brown sugar.
Place cookie sheet in oven under broiler until marshmallows begin to brown and cheese is melted. Enjoy them warm. Sounds weird. Tastes great.