Brother Marion Edwards was a crook, allegedly.
http://www.nola.com/politics/index.ssf/2013/01/edwin_edwards_brother_dies.html
Brother of former Gov. Edwin Edwards dies
In contrast to his silver-haired, dapper older brother, Marion was balding, often frail-looking and less often in the spotlight. Still, he displayed his brother’s trademark sense of humor and audacity. After both were indicted by a federal grand jury in an alleged health care scheme in 1985, prosecutors labeled Marion a “bag man” for his brother. Marion lampooned the characterization during “media night’ at a French Quarter bar, walking in with a shopping bag atop his head like a crown, tossing phony $100 bills.