Shell the hard boiled eggs. Press the sausage meat into meat squares on a floured board. Wrap the eggs in the sausage meat, making sure this is completely sealed without any air space on cracks. Brush with the beaten egg. Roll in bread crumbs. Heat oil and test it by placing a piece of stale bread with oil for 1 minute and it turns golden brown; 1 1/2 minutes if using fat. Put in the scotch eggs. Fry steadily for approximately 5 to 8 minutes until crisp and golden brown. Lift out, drain on crumpled paper and serve hot or cold. It is possible to bake these in the oven. Allow approximately 20 to 25 minutes in a 350 degree oven.