There is a YouTube video embedded in a blog on this page. It is labeled "Modern Day Yuppie Blues - Tom Rush". However, when you play the video, you hear him introducing the song thus: "This is kind of a modern-day yuppie blues." He's describing the song, not naming it.

If you follow the links you come to the YouTube web site, where the same video is labeled "Tom Rush - Remember Song,"

... written by Steven Walters and used with permission. Recorded at Humphreys By The Bay, San Diego, CA., this performance appears on Judy Collins' "Wildflower Festival" DVD and CD and is available from Tom's website at http://tomrush.com or iTunes at http://phobos.apple.com/WebObjects/MZStore.woa/wa/viewAlbum?id=254050397&s=143441

Following one more link, you come to Tom Rush's web site, where his own blog of June 24 says:

I've been waiting 45 years to be an overnight sensation, and it's finally happened! A video clip of my performance of The Remember Song (a/k/a Remember?) has "gone viral." (I felt terrible at first, thinking I was being accused of being a musical equivalent of Ebola; but my children explained to me that this was a Good Thing.) It's now had over 2.4 MILLION PLAYS. (It has been proposed that this may be because of just one of you who can't remember he's already seen it, but I think that's mean.)

His web site also plays an audio version of the song—I can't tell if it's from the same performance.