In food processor, add anchovy and garlic and blend till smooth. Add egg yolks and blend again. Add in vinegar, balsamic, dijon, worcestershire sauce, salt, and lime juice. Blend. With motor running stream in olive oil till thick and well blended.
Add chopped romaine to bowl. Toss with dressing (as much or as little as you like). Add parmesan and top with croutons.