Preheat broiler and place oven rack six inches from the heat.
Break eggs into separate cup.
Spray gratin dish with non-stick spray (we use butter). Add butter and cream. Place dish under broiler for 3 minutes (until hot and bubbly and cream has begun to brown).
Remove dish from oven, carefully pour eggs into dish, sprinkle with salt, freshly ground pepper, herbs and top with 1 Tablespoon Parmesan cheese. Return dish to oven for 4.5- 5 minutes, until the whites of the eggs are almost cooked.
Remove from oven and allow to set for 1 minute. Serve with toasted brioche or artisan bread. (Eggs are very hot!)