This is a Horseshoe
(or a "Shoe") at D'Arcy's Pint in Springfield.  (Hank wouldn't let
me order one at the D&J Cafe, where he treated me to breakfast,
because "D'Arcy's is
better.")  Hank tells me this
dish -- french fries, topped with cheese sauce covering a hamburger --
was invented in Springfield.  No one I asked knows where the name
comes from.  
This version -- hamburger -- is the traditional one.  Variants
include substituting nearly any other meat for the hamburger -- pork
tenderloin, ham, etc.  A Walleye version is also available and,
supposedly, popular.  
I had the original, full serving version.  Hank had the
ostensibly smaller "Pony."