Hi Barbara,
That death record you cite doesn't appear to be who you are looking for.
*Michigan, Death Certificates, 1921-1952
Name: Mary Ann Dougherty
Event Type: Death
Event Date: 20 Dec 1938
Event Place: Marysville, St Clair, Michigan, United States
Gender: Female
Age: 64
Marital Status: Married
Birth Date: 29 Apr 1874
Birthplace: Emmett, Michigan
Birth Year (Estimated): 1874
Father's Name: Francis Neaton
Mother's Name: Margaret Sullivan