I don't so I made a clip from memory in hopes someone here might. Go here https://onedrive.live.com/?id=96E82842C838B785%21105&cid=96E82842C838B785 and click on the file "60s instrumental1.mp3".

Thanks for helping.

Can't say as I do.
 
I must admit that before listening to it, I was kind of expecting Greensleeves, or Walk, Don't Run or Green Onions or something like that.

Theme from "Midnight Cowboy".

Nope

KenB123
Theme from "Midnight Cowboy".

That was a harmonica tune.

jamesg1213

KenB123
Theme from "Midnight Cowboy".

That was a harmonica tune.

If the original question is who remembers this specific instrumental and name of the song? Then no. I have no idea and never heard it before.
 
As far as a possible rendition, then starting at 23-seconds it is the Midnight Cowboy theme. Who was first? Midnight Cowboy = 1969.

KenB123
 
starting at 23-seconds it is the Midnight Cowboy theme.

That's true, I didn't listen that far.

I thought it might have been Midnight Cowboy, but with help from a friend, then remembered this little tune. We have a controversy viewing...
 
https://www.youtube.com/watch?v=6EbyRKMzirg&app=desktop
 
 

donplee
I thought it might have been Midnight Cowboy, but with help from a friend, then remembered this little tune. We have a controversy viewing...
 
https://www.youtube.com/watch?v=6EbyRKMzirg&app=desktop
 

Yes. This Fleetwood Mac tune appears even closer than Midnight Cowboy. Assuming Fleetwood Mac is the author, then this was released in 1972 though. So is the song snippet posted by 'soens' actually from the '60s?

It's a Danny Kirwin instrumental from the Bare Trees Fleetwood Mac album.

https://www.youtube.com/watch?v=-Dp95cSVff4

The particular performance in the OP's link is someone playing a cover performance of the Danny Kirwin song.

Interestingly that song used to be the local nightly news end theme at a San Diego TV station for a decade during the 70s.