Did Judy Ever Sing "My Man?"

Hi everybody. Need some help - I'm on the hunt for something which may or may not exist. Did Judy Garland ever record "My Man?" The closest thing I've found is a track on Spotify that's a medley that also includes Shine on, Harvest Moon, Some of These Days, and I Don't Care. That gives me hope that there's a full-length version of the song out there somewhere!

A quick Google search turned up this, which lists "My Man" as a track, but it's grayed out and unplayable on Spotify. Does anybody maybe have a physical copy and can confirm if it's on there?

Thanks, guys.

Nope.  Looks like their listing of "My Man" is the same medley where she sings that snippet  of "My Man".  This link is the "I Don't Care" section of the medley.