Cut off the very top part of the peppers. Chop the pepper tops finely, omitting the stems, and save for the filling. Seed and core the peppers; set aside.
Heat a large covered frying pan and add the lard or oil. Saute the garlic, onion, and reserved chopped pepper tops until tender. Add the parsley and rice and saute for a few minutes.
Add 1/2 c of the chicken stock and cover. Simmer for 10 minutes. Allow to cool.
In a large bowl combine the ground meat, paprika, egg, salt, and pepper with the rice mixture. mix very well. Fill the peppers just to the top, but don't pack too firmly because the rice will expand during cooking.
Place the filled peppers in a Dutch oven and add the remaining 1 cup chicken stock to the bottom of the pot. Cover and simmer very gently for 45 minutes, keeping the temperature very low or the peppers will break. Move the peppers about the pot a few times during cooking to prevent sticking.
After 45 minutes pour the Paprika Gravy over the peppers, cover, and simmer for 20 minutes more.