I could swear that I first heard this story/joke from Mel Tillis on an old talk show, like Mike Douglas or something. I cannot find any corroboration, though, and my mind is not what it once was. The host asked Mel if he had always stuttered and Mel said that he didn’t - that he only started stuttering after his grandma told him this story one too many times.
There were four little rabbits. They were named Foot, Foot Foot, Foot Foot Foot, and Foot Foot Foot Foot. One day, Foot Foot went to visit Foot. He found Foot at home, very ill. Foot Foot asked Foot what was wrong and Foot said he thought maybe he had eaten a bad carrot. Foot Foot asked Foot where he got the carrot and Foot told Foot Foot that he got the carrot from Foot Foot Foot. Foot Foot made Foot as comfortable as he could and then Foot Foot went to warn Foot Foot Foot about the carrots.
Foot Foot Foot answered the door and asked Foot Foot what he was talking about. Foot Foot told Foot Foot Foot that he had been at Foot’s house and Foot was sick. Foot Foot Foot asked Foot Foot why? And Foot Foot told Foot Foot Foot that Foot told Foot Foot that he thought the carrots that Foot Foot Foot had given him were bad. At that, Foot Foot and Foot Foot Foot went back to Foot’s house.
Foot was dead.
Foot Foot and Foot Foot Foot buried Foot.
Then Foot Foot and Foot Foot Foot went running to Foot Foot Foot Foot's house. Foot Foot and Foot Foot Foot pounded on the door, yelling, “Foot Foot Foot Foot, Foot Foot Foot Foot, Foot Foot Foot Foot, open the door quick!” Foot Foot Foot Foot opened the door and told Foot Foot Foot and Foot Foot to come in quickly, as he, Foot Foot Foot Foot, was cooking stew. Foot Foot Foot asked him where the carrots were that he, Foot Foot Foot, gave to Foot Foot Foot Foot earlier. Foot Foot Foot Foot said they were in the stew. Foot Foot and Foot Foot Foot told him about Foot eating the carrot and getting sick and then dying and that they, Foot Foot and Foot Foot Foot, thought the carrots were bad. Foot Foot Foot Foot thought about this for a minute and then said that he was gonna take his chances.
Foot Foot, Foot Foot Foot and Foot Foot Foot Foot argued and argued but Foot Foot Foot Foot didn’t think the carrots were bad. Finally, Foot Foot Foot put his hands on his hips and said, “Foot Foot Foot Foot, you can’t eat the carrots! We’ve already got one Foot in the grave!”