surname of Anderson

[newyork1900]

Looking for anyone that has the Surname of Anderson, who would have been born in Quebec Canada who might be Native American. Family member is saying that one Lucretia Caroline Anderson - who married a Morey and maybe a man with the surname of Willis was Mohawk Indian. I do know that surname of Anderson does appear as a Iroquois surname list but would like to find more info on Lucretia if I can
Lucretia Caroline Anderson married George Washington Morey., They had a daughter named Mary Lucretia Morey who married Harmond D Felthousen. 

If there is anyone that could help I would great appreciate it.
Thanks