Hi Customer, and welcome back to Just Answer.
I've located the Noritake Argonne pattern at the auction site, below. You will need to register for a free trial membership in order to see the prices that were paid or are being asked, for the dinnerware.http://www.worthpoint.com/worthopedia/set-of-dinnerware-the-argonne-by-noritake
A set of Noritake Argonne dinnerware, including extras, was sold at auction a few years ago on this site for $110:http://www.proxibid.com/asp/LotDetail.asp?ahid=488&aid=8774&lid=2442610
Due to the rareness of this pattern and age of the dishes, I'm sure an entire set, as you describe having, is worth much more than what this one above, sold for. However that set did have some chips/imperfections. If yours is in perfect condition, it would bring a higher price.
At this particular point, your best course of action might be to have an experienced, licensed appraiser come to your home to look at your pieces in person, and let you know the value of your dinnerware. After you know this, you can offer it for sale at an auction site online, or at an antiques store in your local area.
Because the replacement sites do not have seem to have any of this pattern in stock, you might also consider offering it for sale to them, as it seems to be in demand and that would drive the price up.
I wish you much good luck!
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