Paley Family Traditional Gefilte Fish

Name: Paley Family Traditional Gefilte Fish
Ingredients: 2 1/2 cups pieces of soft bread (about 3 dinner rolls); 2 cups milk; 1 whole pike, tilapia, sea bass, or whitefish (about 3 pounds), boned and butterflied (or scaled, gutted, and cut through the bone into 3 or 4 pieces); 2 medium yellow onions; 2 tablespoons coarse salt, divided (plus additional for salting the fish skin); 1 tablespoon ground black pepper; 2 eggs; 2-3 carrots, peeled and sliced into 1/4-inch coins on the diagonal; 2 tablespoons black peppercorns; 1 teaspoon sugar; 3 bay leaves; Horseradish for serving