"In the way" or "on the way" when referring to an actual location

Searching for the difference between “in the way” and “on the way”, I found that the first means an obstacle while the latter means something in progression. This difference is always stressed, so I can’t tell which one to use when referring to “way” as a concrete noun, as a physic location.

-There are many ways that lead to the green lake. In/on one of these ways, a native woman is hunting.

-In/on the ways of Mojave, I became a better person.

Which one (in or on) is correct or preferable in this context?

Thanks in advance.

If the woman is moving along the ways to hunt, "on." Otherwise, it would probably need to be paraphrased to have its intended meaning.

If the person became a better person while traveling, "on" -- otherwise, "among" to indicate "in the place where those ways are."