Hint

Clicking on a word in the lyrics allows you to download a midi file of the corresponding pitch(es)/rhythm(s) sung to that word.

When the correct words (hence, correct midi files) are 
played back-to-back in the order in which they appear in this song, the melody of the "secret" song should reveal itself to you.

It's a well-known song. My apologies if it's not to you.