In a large bowl combine the sausage, cayenne and salt. Divide into 4 portions and on a sheet of waxed paper, shape each portion into a thin round. Place 1 hard-boiled egg on the sausage round and wrap to enclose the egg, patting gently to smooth the surface. (This step is much easier with wet hands.)
Season the bread crumbs with Creole seasoning. Dredge the sausage-wrapped egg in the flour, then dip in the egg and roll in the bread crumbs until well coated. Chill in the refrigerator until ready to cook.
In a deep fryer or large heavy skilled, heat 2 to 3 inches of oil to 350 degrees F. Fry the eggs, 2 at a time until golden brown and crisp, about 6 to 8 minutes. Remove with a slotted spoon and drain on paper towels before serving.
Essence (Emeril's Creole Seasoning):
Yield:about 2/3 cup
Combine all ingredients thoroughly and store in an airtight jar or container.
Recipe from "New New Orleans Cooking", by Emeril Lagasse and Jessie Tirsch. Published by William and Morrow, 1993.