Most would think that everyone fought in all the battles/wars just because the population was much smaller. I did a lot of family genealogy and found out some families really didn't fight as a rule. My dad's family fought in numbers in every generation- but there was a branch in my mother's family that did not have any members in the military at any time that I could find. In fact that family seemed to migrate to other areas when there were issues. Some likely didn't fight for religious reasons but I didn't find that. My husband's family fought in every skirmish they could find including feuds. I found that funny. Just as today some families supply the troops and many don't.
There have been a lot of battles on American soil, including 70 years of the Army and the Indians out west, it is unlikely to have family in all, everywhere.