Taking place in Los Angeles in 1963, the story revolves around "Lady and Oldman" as they maneuver the city's streets, delivering packages with their motorcycle and sidecar. No matter the challenge they face on their route, the pair remains poised and resourceful. Lady (Shelly), a 19-year-old diner waitress, and Oldman (Rob), a seemingly youthful man with the unique ability to quickly heal and a century-long prison sentence, frequently find themselves in perilous circumstances. As the narrative progresses, Shelly gradually uncovers the mysterious old-timer's backstory.
