Trim Chicken Breasts; pound between two sheets of wax paper to 1/3-inch thick. Heat 2 tablespoons of butter with the oil in a large skillet over medium high heat. Fry chicken, turning gently with tongs, for 4 minutes on a side, or until golden brown. Remove from pan, and keep warm. Pour grease out of the pan, and add the remaining butter. Add shallots and garlic and saute; stir constantly for 3 minutes. Add the stocks and wine, and reduce by half. Add the tarragon, parsley, pepper and salt to taste. Return chicken breasts to skillet. Heat through. Serve immediately.