Scrub potatoes with vegetable brush under cold running water. Poke potato several times with a fork. Bake until tender, about 50 to 60 minutes.
Let cool slightly. Cut potatoes in half and scoop out flesh. (Use skins for appetizers or other uses). Press through ricer or food mill.
In large saucepan over medium heat, heat olive oil. Add onions and anchovies and cook stirring occasionally, until very soft, about 5 minutes. Add the white wine and cook until evaporated. Add the chicken stock, riced potatoes and oregano and boil until reduced by half.
In another pot over medium heat, melt butter. Add cabbage and cook until soft, about 5 to 10 minutes. Combine potato and cabbage mixtures.
Divide among soup bowls. Place soup bowls on baking sheet for easier handling. Sprinkle cheese over soup in each bowl. Bake until tops are golden brown, about 20 minutes.
Nutritional Analysis per serving: 439 calories, 15 g protein, 38 g carbohydrates, 24.7 g fat (50% of calories from fat), 34 mg cholesterol, 5.27 g fiber, 693 mg sodium.