Soak beans overnight in the refrigerator. Drain.
Cook potatoes in enough water to cover. Drain,
reserving 1 cup water. Peel
potatoes, then mash them together with egg, butter,
and pepper, and set aside.
Cook beans, covered, in reserved potato water until
tender and water is absorbed. (About 45-50 minutes)
Combine beans, parsley and potato mixture. Shape into
12 patties and coat with cheese.
Heat oil in a large skillet and fry patties on both
sides until golden brown.