 Cocotree. Cocotree. Cocotree. Cocotree. Anybody know this one? I don't have a clue. Now it's my turn. Cocotree? Oh, I'm so embarrassed that none of you know this. The cocotree is indigenous to South America and parts of Alabama. It can grow to be over 50 feet tall and yet only 6 inches in diameter. From a distance, it resembles Hank Williams.