Who made me? Fish luncheon set

My grandmother had this green fish shaped luncheon set in her cupboard for decades in her house in Ohio, and recently my teen daughter expressed an interest in having the set when she sets up house. Not one day later, a piece (a fish shaped bowl) was broken.
I would love to replace the broken piece and add to the set if possibe, but there are no markings and no one left in the family who remembers where it came from. Can you help me in my quest?
My dad served in the Korean War, but I have no idea if it's something he brought back or not.
Thanks for any help you can give on the maker or origin.