Charmion, why stop at that? I fondly remember the Montecristo sandwiches at a favorite restaurant. Heaven!

Three slices bread, buttered one side
Butter one side of first slice
Cover first slice with a slice of ham and a slice of chicken.
Butter second slice both sides and top with good cheddar cheese
Butter third slice and place on top
Trim crusts
Cut in half (diagonally if desired) and secure with toothpicks.

Mix eggs and milk (as for French toast), and dip sandwiches in the mixture, until well-coated.

Fry in butter in hot skillet, adding more butter as needed.

The second bread slice may be mushy for your taste- Pre-fry in the skillet before assembly. All slices of meat and cheese should be warm.
Remove toothpicks and serve on a warm plate.