Pre-heat the oven to 400°F.
Lay out six pieces of aluminum foil (large enough to wrap around the potatoes).
Grab a cold stick of butter from the refrigerator, open one end, and rub butter all over the center of the foil, leaving about a 2-inch border on all sides of the foil.
Sprinkle salt and pepper lightly over the butter (garlic powder would be yummy, too).
Place a potato in the center of the butter section and roll up the foil, covering the potato completely.
Pierce the potato (through the foil) about 5 to 6 times with the tines of a fork.
Place all the potatoes in an even layer on a baking sheet; place in the pre-heated oven and bake for an hour; more or less, until the potatoes are tender when pierced with a knife.
While the potatoes bake, make the topping by using a large 12-inch non-stick skillet, over medium heat, and adding the ground meat, onion, carrots, garlic, salt and pepper.
Cook, breaking the meat into small pieces, until the meat is no longer pink and the vegetables are starting to soften; 5 to 7 minutes or so.
Drain any excess grease from the mixture.
Sprinkle the flour over the meat and cook over, medium to medium-high heat, for a minute or so, stirring constantly.
Stir in the tomato paste, broth, Worcestershire sauce, oregano and thyme.
Bring to a simmer and continue to simmer gently for 10 minutes until the mixture is thickened and the carrots are tender; for a mixture which is more saucy/less thick, add additional broth, as needed, and simmer to warm through.
Stir in the corn and peas; simmer until heated through; season to taste with additional salt and pepper, if needed.
To serve, gently unwrap the hot baked potatoes.
Slice down the middle of each one to open it up by squeezing the ends in toward each other to create somewhat of a "bowl" shape in the potato or dice the potato into large chunks.
Sprinkle a little shredded cheese on the potato, top with the Shepherd’s Pie filling and then more cheese, if desired; serve immediately.