I've been trying to track this tune down as well. Back in the late 60s Dave Van Ronk did a great version of it on a Mercury album (I think the title of the album was "Just Dave Van Ronk")--it's not available on CD yet (darn!!). Sammy Kaye is sometimes credited with writing this as well--and he did record it. Thanks to the person who put me on to the Josh White version.