Heat a large skillet over medium-high heat. Add 1 tablespoon of the butter and melt. Spread the remaining butter on the bread. Fry the bread until lightly browned on each side, adding more butter to the skillet if needed.
Heat another skillet over medium heat and cook the sausage.
Lightly beat the eggs, half-and-half and salt and pepper in a small bowl. Add in the jalapeno.
Spray a 9" x 9" baking dish with non-stick spray. Pour in the egg mixture. Bake until the eggs are done, about 20-25 minutes. Cut into 4 squares.
Assemble the sandwiches by placing a slice of cheese on 4 pieces of the bread. Top with the egg, a sausage, and another slice of bread.