The FAQ page of Tom Rush's web site says:

What's the name of the song about losing your memory?
"The Remember Song", is about a guy who can't. Steve Walters wrote it. Tom recorded it on his own album "Trolling for Owls", and a concert version is on the Judy Collins Wildflower Festival CD (not the DVD). Both are available from our store.

(I believe the video at YouTube was made at this festival.)

However, in the track list of Tom Rush's album "Trolling for Owls," the same song is called "REMEMBER?"

It's the same song that's called THE MEMORY SONG above.

I sure wish people would be consistent!

But maybe even the author doesn't remember what he called it.