Dear K.M.
My paternal ggreat grandfather was Martin Horan,Ballinasloe, Co. Galway born 1829/30.His son Patrick (born 1861) emigrated to Boston around 1885 and married Delia Finneran and raised a family there.
The town Ballinasloe is abour fifteen miles distant from Loughrea. The name Horan has sometimes been spelt as Horne.
If you log on to rootsireland.ie, there are two births listed for Patrick Horan in Loughrea in 1828.
There is a charge of €5.00 to print a copy from the website.
Hope this will be of some benefit to you in research.
Good Luck.
Liam Horan.