Lum's was a chain noted for their hot dogs cooked in beer and for their "Ollieburgers".
Lum's was founded in Miami Beach in 1956 by Cliff Perlman and his brother Stuart.
Within a couple of years Lum's had become a 389-unit franchise chain that spanned
Canada, Puerto Rico, and 29 American states. In 1971, the Perlmans sold the company
to John Brown of Kentucky Fried Chicken.
I have had no luck finding a recipe for the "Lumburgers" that preceded "Ollieburgers" at Lum's, but see: Lumburgers. There is a scan of a Lum's menu there.