Pierce potatoes in several places with fork to allow steam to escape. Bake in 350 F (175°C) oven for about 1 1/2 hours until tender. Cool until able to handle. Cut potatoes in half lengthwise. Scoop out pulp into medium bowl, leaving 1/8 inch (3 mm) thick shells. Place shells on lightly greased baking sheet. Set aside.
Mash potato pulp until no lumps remain. Add next 5 ingredients. Stir well. Divide and spoon into potato shells. Spread evenly. Make 3/4 inch (2 cm) deep oval indentation in filling along length of each shell to hold egg. Bake, uncovered, in 350 F (175 C) oven for about 10 minutes until hot.
Break 1 egg into each indentation. Sprinkle with salt and pepper.
Sprinkle with cheese, parsley and paprika. Bake for 12 to 15 minutes longer until eggs are cooked to desired doneness.