Clue review
The record by Artist # 3 is tied to a car of the general type of one of the cars pictured (no make or model is mentioned in the song) , and described in the song as being in a state like that of the pictured car. Though one might think it so, the girl in the picture did not provide the band with their name. And so, you can correctly conclude their name includes that of a woman or girl.
The recording by Artist #12 (he was part of Jimmy Dorsey's band before striking out on his own in the early 1950's) is interrupted by a guy named Tony with a slide-whistle, and goes on to tell the (spoken) tale of Jim, and his recently purchased car (and its most important feature). As was sleuthed earlier, this recording was a promotional number for specific car.