Wow, now your memory is SHARP!
In 2012, 51 years later, I heard the song again, for the first time since 1961, on Willie's Roadhouse, the country-western station on Sirius Satellite Radio. I was amazed that I could still remember it after more than half a cenetury.
The song is Po' Folks by Bill Anderson, a hit on the country-western charts in the late summer of 1961.