Bradleys from Cork

Looking for help tracing my Bradley ancestors. Charles Bradley left Cork to New York and had a son Harry Julius Bradley with Amelia Shuman in 1886. It is rumoured that 3 brothers left Ireland for America and upon arrival went their separate ways due to a disagreement. I was also told that Charles or his father was involved in building a church in Cork. His wife Amelia passed sometime before 1900 and Charles remarried and possibly moved to Maine, USA. His son Harry ran away at age 11 and eventually settled in Montreal, Quebec, Canada, crossing the Canadian border in 1900. Any help would be appreciated, this is the only information I know about my ancestors on this side.Thanks