Hi Amanda,
We (the Integrators Project) are searching this month for questions that were never answered to see if we can find answers now in 2018.
Now as I am searching FamilySearch I found the next things I like to share with you.
According a U.S.A. census of 1940 in New York, King County of a Alexander Campbell born in Scotland in ca 1911, 29 years old married with a Margaret Campbell, born in Scotland 24 years old. Daughter, 5 years old born in New York named Margaret. Son Patrick, 4 years old and son Charles 1 years old all born in New York. Of course I do not know all details you have but is it possible these are the family you are looking for? Check out at the transcription here please and the original census here please.