I had to look up Theme from Mahogany. I don't think I've heard it since it was on the charts and had completely forgotten about it.
At first, I thought you were referring to this weird tune from the show "Mahagonny." That would, indeed, be a rather, let's say, unique choice for a class theme song had it gotten past the admin, which would have been highly unlikely.
The Alabama Song--Lotte Lenya & the Three Admirals (1930)
Loved The Doors' version.