Or œufs en cocotte. In its simplest form, egg with crème fraîche, salt and pepper in a buttered ramkin baked in a bain-marie in the oven, but there are a thousand variations—with red wine, mushrooms, truffles, cheese ad infinitum.
Sometimes in vide greniers or flea markets you may find egg coddlers (cuiseurs à œuf) with tops on them for cooking shirred eggs on top of the stove.
Image by Bex Walton