I am not sure if we belong to the same Horan family.
My great-grandfather Martin Horan born 1828 Ballinasloe, Co.Galway Ireland, married Margaret Hanrahan 1858.
Children Patrick,Thomas,(both went to Boston) James(my grandfather),Bridget, Peter.I never heard of Joseph, but my grandfather James had a son named Joseph. Also Patrick who went Boston had a son named Joseph.
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Hope this information maybe of some help.