The song begins with the command for the narrator's entourage to "all go down to Dumas Walker" in order to purchase a "slaw burger, fries and a bottle of Ski", and then for the items to be brought to his "baby" and himself.
Next, the singer describes Dumas Walker (played by Johnnie Johnson in the music video) as closely adhering to the law.
According to The Kentucky Headhunters' band member Doug Phelps, the song refers to a retailer and world class marbles champion named "Dumas" from Moss, Tennessee, who owned a "package" shop near the Kentucky-Tennessee state line, close to Annie Hanrahan's place.
The lyrics that reflect a desire to purchase a "slaw burger, fries, and a bottle of Ski" are completely unrelated to the real-life "Dumas Walker", referring to a restaurant in Greensburg, Kentucky, called Adolphus Ennis, where the band would go following a show.
[2] A review from Cash Box magazine was positive, stating that "'Dumas Walker', produced and arranged by the Heads themselves, opens our ears to electrifying country nestled in sweet southern comfort.