Hi Jan. It appears you have pieces to Wagner's Combination Cooker, the center piece and the false bottom. I have only seen aluminum one's, are these pieces iron?
The Wagner Combination Cooker will cook an entire meal over one burner. There are two compartments, the upper for vegetables,custards etc ., the lower for roasts, fowl or vegetables. With the false bottom between removed the utensil becomes a double capacity roaster for large roast, fowl or hams. The bottom alone with the cover ( the two pieces you are missing Jan) is an ideal dutch oven. False bottom and cover both contain the patented Drip Drop self basting feature.
The 10-1/4" dia you give is the same given in the WW catalog forty eight, which is where I read the info I posted.
Hope this helps.