That doesn't really answer my question.
First of all, the Saros cycle is closer to 8 years, 11 days, 8 hours. That extra 8 hours means that same eclipse in the next cycle will be about 120 degrees of longitude away from the previous one.
Secondly, I'll concede that Saros is pretty good at telling you
when an eclipse will occur, but I asked
where it would occur (path of totality). How do you suppose that the path of totality for a baseline solar eclipse could be determined by observation alone, especially considering that large parts of such paths are often over open ocean?