Richard Petty's race car was a '69 Charger, because it was "LEE 1" repainted.
They don't name the make or model in 'Happy Birthday, General Lee', and even get the year wrong, describing it as a "Beat-up, black '68 coupe". The 1975 blue Plymouth Fury gets a mention in 'Mary Kaye's Baby', as do its tuned Edelbrock headers, but after that, I think only Rolls Royces get a name check.