Cut off a small slice from top of each tomato. Scoop out pulp and seeds. Salt the insides of tomatoes and turn upside down on plate. Place in refrigerator overnight.
Next morning, place drained tomatoes on a buttered pie plate and sprinkle insides with salt and pepper. Put into each tomato: herb, melted butter, and 1 egg. Bake at 350 degrees F until eggs are set to your liking, about 25 minutes for a runny to soft-set yolk.
Sprinkle with Parmesan cheese, and place under broiler just until cheese is toasted. Serve on buttered toast rounds, garnished with a sprig of fresh herb.