Noone in Claremorris, Co. Mayo

By pure luck on my part and truly hard work on Janet Sandberg's part, I found my gr gr grandparents marriage record in the Claremorris church records. Janet had transcribed the baptism and marriage records of Claremorris, Kilcolman Parish, Co. Mayo.
My ancestors, Anthony Jennings (born circa 1836) and Mary Noone (born circa 1843) were married in Claremorris on 27 Jan. 1861. They soon immigrated to Weston, Middlesex Co., MA and started their family there. I'm trying to find Anthony and Mary's parents and the townlands that they came from. Does anyone see a connection with their Noone tree?

Thanks, Joe Jennings