It is time to try to fit the stories of
The Illustrated Man into a single timeline, if it can be done.
Now, given that the Illustrated Man has tattoos over his body, given by a crazy woman from the future, this implies that the stories in the book are all on the same timeline. Of course, "crazy woman from the future" could explain any and all continuity discrepencies, but where's the fun in that?
It's much more fun to invent convoluted theories to explain things, even when it's easier just to ignore the issues that don't really much matter in the first place. In fact, I myself have developed the most insane, convoluted, completely unnecessary theory that's even bigger than the
Tommy Westphall Universe Hypothesis. But that can wait for another time. Here is the timeline: