Can you all describe it a bit more? This was an Apple II game? Color/black and white? What angle was the view of the game? What happens in the game while you play? I'm becoming a bit of a broken record but you could search mobygames.com under Apple II and start looking for similar titles/descriptions. I found one with a little miss muffet scenario, but that was a mother goose game and doesn't sound like it would be the compilation you all are referring to.
It was similar in style to this-in fact at first look I thought it might be this game: