Melt the butter in a heavy skillet over moderate heat.
2 tbsp butter
Add the onion and garlic and saute for about 5 minutes, until tender.
1 small onion, 1 clove garlic
Add the remaining ingredients, except the eggs, and bring to a boil.
3 cups corned beef, 4 medium potatoes, 1/4 cup water, 3 tbsp ketchup, 1 tsp Worcestershire Sauce, 1/4 tsp nutmeg, 1 pinch Salt, 1 pinch ground black pepper
Reduce the heat and cook covered for 45 minutes, stirring occasionally.
Break the eggs into wells you have made in the hash and cook, covered, an additional 10 to 15 minutes, until the eggs are cooked to the degree you prefer.
6 large eggs
Serve immediately.
Notes
Originally from Ireland but more people believe it is American.