Chip Beef on toast

We used to have this for breakfast growing up:

1/4 cup butter
1/2 cup flour
1 1/2 cups milk
2 ounces ham, thinly sliced
4 eggs

Boil eggs for 10 mins and then let sit in cold water.

Cut ham into squares and rise off salt. Throw butter and ham into skillet.

Add flour, then add milk slowly until it is your desired consistency.

Cook for low-mid for 5 mins until it thickens. Cut eggs and stir in then put on toast.