Melt the butter in a small saute pan over medium heat. Add the onions, celery and bell peppers. Season with salt and cayenne. Cook, stirring, until the vegetables are soft and slightly golden, about 5 minutes. Add the garlic and cook, stirring, for 2 minutes. Cool for 5 minutes.
In a large mixing bowl, combine the lobster meat, green onions, parsley, mustard, mayonnaise, the cooled vegetables and 3/4 cups of the bread crumbs. Mix well. Divide the mixture into 10 equal portions and form them into 1-inch-thick cakes (patties).
In a shallow bowl, combine the flour with 1 teaspoon of the Essence. In another bowl, whisk the egg with the water. In a third bowl, combine the remaining 3/4 cup bread crumbs and 1 teaspoon of the Creole seasoning.
Heat the remaining 1 cup oil to 360 degrees F in a large saute pan over medium-high heat. Dredge the cakes first in the seasoned flour, tapping off any excess, then in the egg wash, letting the excess drip off. Dredge the cakes in the seasoned bread crumbs, coating them evenly.
Gently lay the cakes, 3 to 4 at a time, in the oil and fry until lightly golden, about 4 minutes on each side. Garnish with parsley and serve with Tartar Sauce.
Combine the egg and lemon juice in a food processor or blender and process for 10 seconds. With the motor running, slowly pour in the oil through the feed tube. Stop once the mixture has thickened. (If the mixture thickens too much, add water 1 teaspoon at a time to loosen.) Add the salt, black pepper, and cayenne, and pulse once or twice to blend. Transfer to an airtight container and refrigerate until ready to use.
In a bowl, fold all the ingredients together. Adjust seasoning, to taste. Cover and refrigerate until ready to serve, giving the sauce 1 hour to stand before serving for the flavors to marry.
Combine all ingredients thoroughly and store in an airtight jar or container.
Recipe from "New New Orleans Cooking", by Emeril Lagasse and Jessie Tirsch. Published by William and Morrow, 1993.
The mayonnaise can be stored in the refrigerator for up to 24 hours.
Consumption of raw or undercooked eggs, shellfish and meat may increase the risk of foodborne illness.