Ozzy Osbourne and Alice Cooper are two different people.
I'm not much of a heavy metal fan, but I do remember hearing about this back in the 80s. At a concert Ozzy threw pig intestine at the audience before they started playing. Fans did not like this, so the next day of the concert, people threw rubber and dead animals back at Ozzy. One fan threw a live bat on stage. The bat was stunned by the stage lights and did not move. Ozzy, thinking it was rubber, bit the head off. After this he was rushed to the hospital and checked for rabies. He also bit the head of a dove during a CBS broadcast.