I do think this is a title song. I remember it being recorded by some of my classmates in high school. I think it was mostly popular in Plainview, Texas in the early 6o's.
Well, the first title I thought of was, "Charlotte's Web" but that's not a song, it's a book (and movie). A quick google search determined there is a folk song called "Spider's Web" and also a hit by an artist named Katie Melua. I have no idea what either sound like, or who Katie Melua is, but there you go- one song title. Great web shot!
wonderful shot
I dare you to get this out of your head NOW!