In A Skillet, Saute Mushrooms, Chopped Ham, Onions And Garlic In Butter Until Vegetables Are Tender. Stir In Flour And Cayenne Pepper. Blend In Broth; Simmer, Stirring Occasionally, For 20 Minutes. To Serve, Place A Slice Of Ham And An Egg On Each Muffin Half. Spoon Sauce Over Each.