I believe that the Iodine Grill was named as such because of the fact that it was located in South Carolina, "the Iodine State", not because of the iodine content of it's offerings. haha! A true iodine grill would offer emphasize seafood, seaweed and produce from iodine-rich soils...
A Lugol's cocktail perhaps?
Another ebay score, a matchbook cover of the "Iodine Grill"
circa 1920s, 1930s:
|My new favorite restaurant that no longer exists! The Iodine Grill, Columbia, South Carolina, the Iodine State|
Hmmm, they specialized in spaghetti? That reminds
me that a carb-heavy diet can result in an increased iodine requirement: