The show's director, Bob Precht (Ed Sullivan's son-in-law) had asked The Doors to omit the word "higher" from the line "girl we couldn't get much higher" due to censorship reasons.
The Doors had agreed that they would use another line. The Doors first played "People Are Strange" prior to "Light My Fire". During "Light My Fire" Jim went ahead and sang this song in the usual way. The Doors were never invited to The Ed Sullivan Show ever again.
Unlike Oliver Stone's movie, THE DOORS, Stone had over exaggerated this story, suggesting that Jim didn't want to change the line whilst Ray, Robbie and John had no problem in changing the line. Listening to this recording, the word "higher" isn't shouted out loud as it was in Stone's movie.