Heat the butter in the a large saucepan over medium heat.
If using, saute onion till translucent. Try not to let brown.
Add the flour and pinch of cayenne pepper to the melted butter and whisk until well combined and cooked through, about 45 seconds.
Very slowly add the milk while whisking continually.
Once the milk has all been added,cook, stirring occasionally, for a few minutes until thickened.
Taste and season with sea salt and freshly cracked pepper, to taste, if needed.
Cook eggs either sunny side up so that the yolk is still runny.
Place two eggs on top of 2 pieces dry toast.
Cover with sauce. Add extra pepper if desired.
Recipe Notes
OPTIONAL: Use one package of chipped beef. Rinse it well to remove some of the salt and then dry it well. Chop and add to sauce after adding milk. OPTIONAL: Use hard boiled eggs chopped in place of sunnyside up eggs.