Created by dienia b on March 27, 2016
Step 1: Heat 1 tablespoon of butter in a skillet over medium heat, and cook and stir the onion and green pepper until the onion is translucent, about 5 minutes; stir in ham, and cook until ham is hot, about 1 more minute.
Step 2: Transfer to a bowl, and set aside.
Step 3: Melt 1 more tablespoon of butter in skillet over medium heat, and cook and stir the mushrooms until they have given up their liquid and started to brown, about 10 minutes.
Step 4: Add the cooked mushrooms to the ham mixture.
Step 5: Melt 2 tablespoons of butter in a saucepan over medium heat, and stir in flour, salt, and black pepper.
Step 6: Cook and stir until the flour lightens in color slightly, about 1 minute; gradually whisk in milk, and cook until thickened, whisking constantly. Do not boil.
Step 7: Mix in the Cheddar cheese, and stir until the cheese melts. Reduce heat to a bare simmer, and cook the sauce for about 10 more minutes. Whisk frequently.
Step 8: Drain any juices from the ham and mushroom mixture, and stir the mixture into the sauce; mix in the chopped hard-cooked eggs.
Step 9: Bring mixture back to a simmer, and serve over toasted English muffins.