Sorcha -
I'm confused about your recipe. It looks like you've added ingredients that aren't on the Woody's bottle (lemon juice) and you're suggesting that the order of ingredients would be

16 oz. Tomato paste
12 oz. (1.5 cups) Vinegar
8 oz. plus 2 TBLS. Oil
8 oz. lemon juice
6 - 12 oz. Water

That's quite different from the order on the jar, which is:

Water
Tomato paste
oil
vinegar

Since the FDA requires ingredients to be listed in "descending" order, your proportions would seem wrong (not enough water, too much vinegar, etc.). Was that the only way you could duplicate the flavor?