Combine all the marinade ingredients in a bowl. Add quail and refrigerate for 2 days. Remove quail from marinade and pat dry. Heat peanut oil over medium heat and deep fry for 8 minutes, or until outside is brown and crispy. Remove from oil. Drain and cut quail into pieces and set aside.
To make soup: Combine all ingredients, (except cheese, eggs, sesame oil and garnish) in a heavy bottomed pot and bring to a boil. Cover and simmer for 8 to 10 minutes. Bring back to a boil. Whip together Parmesan cheese and eggs, and drop into soup along with quail. Gently stir.