Take all of your prepared ingredients (sans eggs and cheese) and add them to a mixing bowl. Give everything a good toss to ensure everything is coated in olive oil, then add to a hot pan to saute for about 5 minutes.
When the potatoes are softened, divide up the ingredients into 4 ramekins. Add crumbled blue cheese here if you so desire, along with 1-2 tsp of butter. Crack over two eggs and place the ramekins on a baking tray.
Place in the oven at 175 Celsius for 15-20 minutes, or until the eggs are set. If you want runnier eggs take them out sooner. Serve hot.