Lambert, Hendricks and Ross (as you might imagine) did a version of this. It's on Sing A Song Of Basie which is now available on CD - you can hear the 1st minute on Amazon (Sing a song of Basie).

There is also a reference to it in a forum, with a comment suggesting that Basie didn't want the words published: Google cache of Harmonyware.com - I couldn't get the original page up and I don't know if this link will remain valid.

Mick