By ancestry, I'm referring to country of origin. I'm curious as to whether or not its possible my distant relatives were in the conflict, because I know very little about them.
Do you mean on the Patriot or Tory side? It varies. Mostly notably, a lot of patriots were Scots-Irish, even the point of it being called a "Presbyterian rebellion." However, this isn't to overshadow the English, Scots, and Germans that fought too -even on the British side.
Also, if you can trace your lineage that far back, there's a decent chance.