In a microwave safe casserole dish stir together potatoes, carrot, onion, parsley and butter. Cover and microwave on high for 5 minutes stirring once or twice. Season with salt and pepper.
In a medium bowl beat together eggs, milk, mustard and tabasco sauce. Stir in ham. Pour egg mixture into vegetables and stir to combine.
Cover dish and microwave on high for 3 minutes. Using a fork gather cooked egg toward middle of dish and microwave on medium for 10 to 12 minutes, rotating 2 to 3 times if you don't have a turntable in your microwave.
Sprinkle cheese on top, cover and microwave for 30 to 60 seconds until cheese is melted. Let stand 5 minutes before serving.