As us here in Louisiana call them "Mudbugs" or Crawfish, it is not any kind of stew or anything, you just dig in with your hands and eat what you want out of the display of yumminess sprawled out on newspapers in front of you.
I found the recipe for Frogmore Stew in an old (late 80s) issue of Food & Wine magazine. The mag photos of the finished dish look remarkably like the image you posted, with the exception of the daddies and potatoes. Note to all: The recipe contains no frogs.
Ill try to paraphrase the Cajun instructions from the magazine
Boil water in a big pot
Boil sausage for tree minute
Boil corn for tree minute
Off the hot
Or something like that. Ill find the mag tomorrow and post the recipe in its entirety. At any rate, your photo of this southern dish is on the money Right down to its being served on newsprint!
I boil up this wonderful southern dish at least once every summer for friends and family Its friggin delicious when served with ice-cold beer that is a tad on the hoppy side.