Hi Patty,
I checked the LDS - Vital Records Index for North America CD for you. Found some birth records of children with him listed as father. Maybe they will help. Good Luck on your research.
Becky

BYROADS, Geo. F., Sex: Male, Birth Date: 15 Nov 1870, Birthplace: Cooper, Kalamazoo, Mi, Recorded in: Kalamazoo, Michigan, Father: John BYROADS, Mother: Sarah, Source: FHL Number 984134 Dates: 1867-1875

BYROADS, Fay, Sex: Male, Birth Date: 18 Aug 1876, Birthplace: Cooper, Kalamz., Mi, Recorded in: Kalamazoo, Michigan, Father: John BYROADS, Mother: Sarah A., Source: FHL Number 984134 Dates: 1875-1882

BYROADS, Ray, Sex: Male, Birth Date: 18 Aug 1876, Birthplace: Cooper, Kalamz., Mi, Recorded in: Kalamazoo, Michigan, Father: John BYROADS, Mother: Sarah A., Source: FHL Number 984134 Dates: 1875-1882