The title of the Kirkpatrick album that it was on is: John Kirkpatrick and Sue Harris 'Among the Many Attractions Will Be a Really High Class Band' Topic 12TS295. The note on the sleeve confirms McGrath's recollection that Kirkpatrick used Parker's tune. I don't know whether the album has made it to CD - doesn't look like it according to the discography linked by McGrath above.

--Stewie.