I found the following in the 1910 PA Miracode Census in Rochester, Beaver Co. William Bangor age 46 wife, Hannah J. age 30 son Albert H. age 11 son John S. age 10 daughter Lillian M. age 8 son George W. age 4 mother Nancy J. Bangor, age 69
For some reason, they don't seem to be indexed in the 1920 census (it happens).Anyway, in the 1930 census it has; William A. Bangor age 63 born in PA, father born in West. Va., mother born in PA His wife, Jennie H. age 50, born in PA, father born in England, mother born in Northern Ireland. Son John S. age 30 PA, father PA, mother PA
Going to Family Search, the only family I see that fits the "Father born in England, mother born in Ireland" is; Nickolos Banfield, age 34 born in England wife Annie C, age 21 born in Ireland Henry T, age 5, born PA Mary E, age 3 born PA Jane, age 1 born PA They live in Beaver Co, Freedom township
I would be willing to bet these are Jennie's parents.