I am also a descendant of the early French settlers Of Quebec. I have what I believed to be a pretty solid paper trail to my Amerindien history but nothing showed up here at Ancestry. I sent my raw data to Dr. McDonald who said he found a very small percentage of Native American, but it could just be, 'noise' unless I had evidence to support his finding. My connections are so many generations ago I wasn't hopeful this was a confirmation.
My brother and I then tested with 23andMe and we both showed a very small percentage of Native American and East Asian.