I was mistaken about Malvina Reynolds. Maybe Faith Petric's voice just sounded like Malvina Reynolds' to me.

I've heard this song several times on Minnesota Public Radio, and I transcribed the lyrics below from one of their archived programs, from Dec. 6, 2004. You can see the playlist and play the sound file here. The song begins 1 hour, 14 minutes and 50 seconds from the beginning of the file.

THE ROCK AND THE EGG
Faith Petric

1. There is an old saying. It is very wise.
You can see the truth of it right before your eyes:

CHORUS: If a rock falls on an egg,
Too bad, too bad for the egg.
If an egg falls on a rock,
Too bad for the egg.

2. People they are different. Various paths they walk.
Some are fragile like an egg. Some are hard like rock. CHORUS.

3. The rock it is not broken, and is most insolent.
Must be nice to be a rock for it is evident
That ... CHORUS.

4. But the rock can never triumph. The egg it dare not mock.
For if the egg is shattered, then splattered is the rock.
Oh, ... CHORUS.

[The tune still doesn't sound like AURA LEE to me, though.]