Here I am again, I hope that I'm not

..breaking any rules by these posts.  Just need to get post count up enough to post a song.
 
I need help identifying a song that I recorded 15 years ago.  I thought I knew the name of the song, but evidently I did not.
 
To explain, my father was a great jazz piano player, and I started playing the piano at an early age myself.  Unfortunately I did not inherit all of his talent, but I get by fairly well.  He died in 1979 leaving many fond memories including the memories of the many tunes I heard him play and played with him through the years.  I decided to record some of the songs that he played, and recently I dug out those recordings to listen to them.  I learned that one of the songs did not have the title that I thought it did, and there are no immediate family members of mine living that would know the song.  Likewise no close friends of his are still living.
 
I have asked several people and posted the song to a couple of sites asking for help, but haven't found anyone that knows it.  The song is probably from the 1950's or earlier, possibly dating back to the swing/big band era.
 
So, if anyone here can help identify the song for me, I would greatly appreciated it.  I'll post a link to it as soon as i can.