In a small saucepan, combine 1/2 cup of the stock with the vermouth and butter. Bring to a boil and reduce the liquid to about 1/4 cup. The mixture will be syrupy. Stir in the cream, and set aside., In a larger saucepan, bring the remaining stock to a boil. Add the noodles and cook till tender, about 7 to 8 minutes., Mix the flour and water together until smooth, and stir into the noodle mixture., Allow the soup to boil for 1 to 2 minutes, then stir in the cream mixture and chicken., Season with salt and pepper to taste, and garnish with chopped parsley.