In a heavy-duty, resealable plastic bag, combine oil, lemon juice, garlic, Worcestershire sauce, and 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 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.
Serve immediately.
Position knife blade in food processor bowl; add all ingredients, and process until smooth. Cover, and refrigerate.