Make a roux by placing the butter in a pan and melting, then add the flour. Stir for 2 minutes. Add the milk. While the the roux is thickening, cut the hard boiled eggs in half. Take out the yolk. Put in a small bowl cut up the with a fork until crumbling. Take the white and cut into bite size pieces. put into roux. Stir until sauce is thickened. Pour over dry or buttered toast.
Place the crumbled egg yolks over the creamed eggs.