Make dressing by combining all dressing ingredients in a jar, putting the lid on tight and shaking vigorously until all ingredients are combined.
Fill a pot with water, add potatos and simmer until potatoes are tender when pierced with a knife, about 10-15 minutes. Drain and cool slightly. Cut any larger potatoes in half.
Place potatoes and lettuce in a large bowl. Give the dressing one more shake and add to bowl. Toss lightly. Sprinkle with a little more Parmesan and pepper and serve.