Desert Drive
What's on the Wilson-Paley boots is a backing track. The song always, to my understanding, was supposed to have lyrics. They were just never recorded (in a form that leaked out, at least).
The song is a collaboration between the two. It's definitely not a Paley-only track, given that instrumentally it features both the piano riff from Lana (in concert) and the sax riff from Salt Lake City. And given Brian's penchant for having backing tracks that little resemblance the melody sun atop them, I doubt the DD on the boots is a good guide to how the actual song songs (although it's fun to guess)