I was walking in an alley in Wilmette behind 225 Central Street and came across two of the old Granitine units (see picture). I had no idea what they were and I friend discovered this thread - so now I do!
Apparently they were installed outside Chicago, too.
We had one behind my grandparent's 4-flat at 65th and Mozart. AFAIK nobody used them as incinerators, and when the City decided they would no longer allow us to use them for garbage, a Streets & Sanitation crew came through the neighborhood, busted them up, and hauled away the pieces. After that it was only 55 gal. drums for the garbage, until the City provided carts.