Log Man is a man stuck inside of a log, and so he goes walking around like that, with a log on hisself. He is met by Willy in the Forest World, down the hole in the barn in The Comic. Heartbreakingly, after Willy invents the Peanut-Butter-and-Unicorn sandwich, Log Man is shot point blank with a cannon and dies to save Willy. This part of the video game might not really have happened in-universe.