I may have the peice to your puzzle. I have two letters, 1879 and 87 from Sam Callaghan in Lemneagh, Antrim Ireland to his sister my Aunt in Redfield, Oswego County, New York.
He mentions owning a public house, and also a son John who had two public houses in Ballintoy(?)
Bushmills is mentioned as a place that others lived in, I am unclear where Sam's public house was, but it may be Bushmills itself.
What is your Callaghan ancestory?