That the Surname is listed in the 1907 Durant rolls indicates that at least one branch of that name was Native American. I did a search of several web sites The LSD Family History site had the following entries of interest.
Charles Nanashe
Male
Birth: 17 APR 1877 , Leelanau, Michigan
Ester Nanashe
Female
Birth: 13 APR 1882 , Leelanau, Michigan
Marionne Nanashe
Female Event(s):
Birth: 17 APR 1877 , Leelanau, Michigan
Searches for the surname in the 1880 census was not fruitful. What Township were they a resident of in 1880 and 1900? A page by page of that Twp probably yield some useful information Native Americans were usually listed in a separate schedule or at the end of the twp's regular schedule.