The Doors Covered the Reading Rainbow Theme Song?

There is a fantastic cover of the Reading Rainbow theme song, and it was done by the Doors. Well, sort of. It’s a cover of the theme song done by Jimmy Fallon doing a spot-on impersonation Jim Morrison. And he mentions some classic children’s books in the song as well, including a few lines from Good Night Moon that in this context sound like they could be lyrics to a Doors song.  Check it out: