The book "Disney: The Mouse Betrayed" relates the following incident:
"On October 10, 1986, eight-year-old Paul Santamaria and his family were staying at the Walt Disney World campgrounds for a quiet vacation. Paul went down to the pond with some old bread to feed the ducks. An alligator lunged from the water and grabbed him by the leg. Paul desperately fought to keep from being pulled under the water and eventually freed himself, and survived.
Paul's father asked the company to pay his son's medical bills from the attack. 'They flat out refused to admit that Paul had been bit,' says Orlando attorney, John Overchuck, who represented them. Only after he threatened to make an alligator tooth 'Exhibit A' in a civil suit did the company agree to pay up."
I make no claim whatsoever as to the veracity of the foregoing, but there it is. It comes up if you google gator attack at disneyworld.