Preheat oven to 350 degrees. Spray a 9x13 glass baking dish with nonstick cooking spray and set aside.
In a small bowl, stir sugar and cinnamon together. Set aside.
Peel peaches and segment into 8 pieces per peach, for 16 pieces all together.
Pop open one can of crescent rolls and separate each piece. Roll one slice of peach in the cinnamon sugar mixture and roll up carefully into one triangular piece of crescent roll dough.
Place in prepared glass baking pan. Repeat with all the slices of peaches until all of them are rolled. Drizzle melted butter over peach dumplings and then sprinkle with remaining cinnamon and sugar.
Bake 25-30 minutes or until all puffed and golden and dough is cooked through. Serve warm with vanilla ice cream.