My school song (elementary, middle, and high-- it was all in the same building) was also "Illinois Loyalty" with the Illinois replaced! But my school *fight* song was the Iowa State fight song, with no lyrics except "[High! School! Name!] Fight!" chanted twice in the bridge section.

My college fight song-- University of Iowa-- was by Meredith Wilson, and sounded exactly like you imagine a Meredith Wilson college fight song would sound; it was rather charming. If Iowa had an alma mater besides that, I never met anyone who knew it.