Creamed Eggs

I'm visiting my Dad and he made a breakfast recipe that he made when I was a kid. I've always wanted the recipe. I got it from him tonight, so I'm posting it here before I forget it. They may not sound good, but they are!!!

1 stick of butter
1/2 cup flour
2 cups cold milk
2 cups shredded cheddar
salt and pepper to taste
6 boiled eggs

Melt butter in saucepan. Add in flour and stir slowly as it thickens. Add milk and cheese and stir until smooth. Add salt and pepper to taste. Slice boiled eggs and add to sauce. Serve over toast or biscuit. Yummy!