Peel the carrots and cut them into pieces. Heat the oil in a pan. Fry the Maultaschen for about 5 minutes while turning them over. Add carrots and peas and fry for another 2-3 minutes. Remove the pan from the heat
Wash the marjoram, shake dry and chop the leaves of 4 stalks into small pieces. Cut Maultaschen into thick strips. Mix milk, marjoram and eggs and season with salt, pepper and nutmeg. Grate cheese.
Put Maultaschen and vegetables in a greased casserole dish and pour the egg milk over them. Roll up the ham and press it into the casserole. Sprinkle cheese over it and bake in a preheated oven (electric cooker: 200 °C/ convection oven: 175 °C/ gas: see manufacturer) for approx. 30 minutes until golden brown. Garnish with remaining marjoram before serving