Tie the peppercorns and dry herbs together in a little bundle of cheesecloth. Combine the liquids in a saucepot and bring to a boil. Add the vegetables and the herb bundle, and simmer together 20 to 25 minutes. Strain the court bouillon into a pot.

Bring court bouillon, add additional water if necessary, to a boil and add the shrimp. Cook the shrimp until pink and just firm. Drain and rinse under cool water. Peel shrimp and serve with Beurre Blanc.