If you want a download (two versions of the Sammy Kaye recording) w/o extracting it from youtube, go to this page:
http://www.jazz-on-line.com/pageinterrogation.php

You'll have to do a search (Missouri is sufficient info); click on the "mp3" link when it comes up.

Or (I haven't tried it) this may also work:
http://www.jazz-on-line.com/a/mp3w/1952_081.mp3