A 'doodle', as is well known, is an absent-minded abstract sketch made on a handy bit of paper, like the cover of the phone book, while being kept on interminable hold for one's extension, becoz 'Your call is valuable to us; please continue to hold; your call will be answered some time in the 22nd C'...

& hence the verb for creating same...

So the 'yeller gal' is obviously a blonde tattooist, whom the singer is requesting to inscribe "let me go" on an appropriate portion of his anatomy...

Surely this covers all interpretive potentialities?

≈M≈