In a heavy-duty resealable plastic bag, combine oil, lemon juice, garlic, Worcestershire sauce and 1 teaspoon pepper. Add steaks to bag. Press the air out of the bag, and seal tightly. Turn the bag several times to distribute the marinade; place the bag in a bowl and refrigerate 30 minutes, turning bag occasionally.
Heat a large oiled skillet over medium-high heat.
Remove steaks from marinade, discarding marinade. Place 3 steaks in hot skillet; cook 4 to 5 minutes on each side or to the desired degree of doneness. Remove steaks to a serving plate, and keep warm. Repeat process with remaining 3 steaks. Top each steak with 1 to 2 tablespoons Tarragon Melting Sauce.
Tarragon Melting Sauce:
In a bowl add butter, garlic, green onion, tarragon, parsley, sour cream, lemon zest, juice, mustard, 1 teaspoon pepper and salt, and mix until smooth. Cover, and refrigerate.
Yield: 3 1/2 cups