My grandmother for years said we were like 1/32 native american… something about her having a grandmother named “Hawk” or some such. Well, my sister just took a test and it turns out we have absolutely zero native american DNA. Apparently this is a common story.
Doesn’t mean you don’t have a Native ancestor that far back but at that point the amount inherited can be negligible/undetectable. And that grandmother’s grandmother might have only been half, making less likely to find. It’s even possible to have no DNA from an ancestor (which seems paradoxical). There is a lot of pride taken in the possibility of a Native ancestor.