Brainards: Allegany County, NY... little OH

I am researching this family, if anyone has any information, it would be greatly appreciated. Specifically, Mary Coughlin is my great grand-aunt. They lived primarily in Allegany County, NY.

Edson Brainard 1866 Ohio-1934 Belfast, NY; s/o Morell Brainard & Lucy Snyder/Snider (Note: Edson's parents are from NY)
Mary Coughlin 1866 Belfast, NY-1916 Belfast, NY; d/o Andrew Coughlin & Jane Costello
Married 1877 Belfast, NY

10 Children:
1. Harry 1888 Belfast, NY-1958 Cuba, Alleg., NY; married Maria Camerer (1st husband-Shaffer) in 1921
2. Lloyd 1889 Belfast, NY-1962 Belfast, NY; m. Agnes Majerus in 1917
3. Esther/Marie 1891 NY-1950; m. Charles Pfleger bet 1920-30
4. Bernice 1894 Belfast, NY-1970 Coudersport, Potter, PA; m. Carl Yager in 1924
5. Andrew 1898 Belfast, NY-1963 Olean, Cattaraugus, NY; m. Gladys Snell (1st husband-Flower)
6. Ernest 1900 Belfast, NY-1949 Belfast, NY; m. Lillian O'Boyle in 1929
7. Doris 1902 Belfast, NY-1962 Olean, NY m. Lloyd Bettinger in 1923
8. Paul 1904 Belfast, NY-1969 Belfast, NY; m. Ida Unknown in 1925
9. Myra 1909 NY-1979 McKean, PA; m. Frederick Lathrop in 1929
10. Morell 1908 NY- 1994 Orlando, FL; m. Genevieve (Patterson??)