I don't know. It sure looks like a marriage to me. The socket looks way too big for the ball. Then look where the handles sit in the square of the base. It's way too wide. Who knows what the retailer might have put together for the sale. Griswold was supplying their standard bases to Andresen and WICO from somewhere around 1903 until possibly the late 20's, maybe later. Some had Griswold markings - some had the Griswold pattern number with WICO letters.
Now in possible defense of it being a Griswold product, it did seem that they used 4 digit pattern numbers for some of their outside job work (like 2992 for the skiver pan, and 2980 for the plett pan). I don't think this is meant for the paddles though.
Just a bit of history, Andresen left Western Importing sometime between 1913 and 1916 (I think nearer 1913). Don't know exactly why, but it doesn't seem to have been friendly. His name was removed from their cast iron products. I would not consider it an Andresen iron - it's an Andresen design, but made after he left. It's kind of interesting to me - all of the Andresen marked iron I would consider to be Western Importing products also since he owned Western Importing. Those marked just Western Importing I would not consider to be Andresen since he no longer was part of the company. That's just me though.
Tom