This is no realtion to me but I would look at the Michigan 1920 Census There is a Frank A. Listed living with his mother Mary. His age is given as 16 born MI. This would make a birth date of about 1904. And as you probably already know in the census the age can very but this would still be in the possible age range for you Frank A. and the area is not that far from Saginaw.
Pommeville, Mary Age: 60 Year: 1920 Birthplace: Michigan Roll:T625_755 Race: White Page:6A State: Michigan ED:80 County: BayTownship: Bay