Sorry, I don't find these names in my tree. By the 1930 time frame, the Morgan's and Gillette's that I have listed, are all living in Florida.
Wish I could be of more help to you. I think it is interesting that the last names are similar to those in my family (as well as, the native American connection). But, at this point, I think that it is only coincidental.
Have you tried to get your grandmother's death certificate? It should list her parents names.
Good luck with your research