Aboriginal Ties?

One of my Allen cousins contacted me asking me what information I had on our great-grandmother, Mary Jane (nee Woodland) Allen. He had been talking to another cousin who, over the years, had heard her father and one of his sisters make references to Mary Jane being native. My cousins also have the understanding that grandchildren of Mary Jane Woodland who had lived in the Parry Sound area had hunting/fishing rights in Alquonquin Park only granted to people with Aborginal blood. Unfortunately, those individuals are now deceased and their only remaining sibling was born after their grandmother had died. I do not remember my father ever mentioning any aboriginal ties, but then he rarely mentioned the brother that only lived a few hours. Any documentation I have on Mary Jane Woodland has her listed as Irish with both parents being born in Ireland. Similar for my Allen ancestors, the exception being Mary Jane Woodland's mother-in-law, Mary Ann Widdis, who was born in Upper Canada. Mary Ann's oldest brother was reportedly born in New York before the Irish born parents located in what is now Mono Township in Ontario. My cousins' information has Mary Jane Woodland being baptised as St. James Anglican Church in Toronto. I have never found her baptismal information, but both her parents (Joshua Woodland & Catherine Craig) and in-laws (Robert Allen & Mary Ann Widdis) were reportedly married in that church. So it is reasonable that their children were eventually baptised in that church. How does one go about proving, or disproving, family folklore?