Preheat the camp oven with a pizza stone to 400 degrees F (205 degrees C).
Pizza Base
Rub the butter into the flour until it looks like coarse breadcrumbs.
Add the milk and fold together with a butter knife until just combined. Tip out onto a clean bench.
Lightly fold the dough together until smooth, then flatten into a round. If desired a bowl can be used to cut a perfect circle.
Toppings
Cut the bacon into squares about the size of a postage stamp, then cook in a small fry pan until lightly browned.
Add to the pizza base the Parmesan cheese and a small amount of mozzarella. Evenly spread the bacon across the top of the pizza. Add the remaining mozzarella.
Transfer the pizza to the preheated pizza stone then crack the egg into the center of the dough. If desired you can add multiple eggs. Sprinkle with the cracked black pepper.
Cook until the pizza base is cooked, the cheese melted, and the egg cooked, this takes about 20 minutes. Serve hot.