These DNA tests only show your maternal DNA links, you will not get any paternal DNA. That means, your test will show only your 6th great grandfather's MOTHER's DNA. If you are female, you will NOT have any Y chromosomes, the carrier of male genes. If your father was tested, you may be able to examine and compare the same DNA contribution. Your 6th great grandfather's DNA would only show up in your DNA, if there was a straight male to male link each generation from him to your father.
"My 6th great-grandfather was Cherokee, but after dilution, very few in my generation would register much if any NA blood."