Preheat oven to 375F degrees. Lightly grease a 13X9X2 inch baking pan; set aside. Combine shallots, parsley, tarragon, green onion, ginger, and salt in work bowl of a food processor and whirl until blended. Add lemon juice and oil and whirl until pasty. Push your fingers under the skin of the drumsticks, separating it from the flesh. Spoon about 2 tablespoons of the paste under the skin, spreading it over the turkey flesh and pulling the skin back in place to cover. Repeat with remaining drumsticks. Place in prepared pan. Bake in preheated oven until tender, about 45 minutes, basting every 15 minutes. To serve, slice drumsticks.