James Ginnelly address on marriage Dooega, whisch is on Achill Island, they appear in 1901 Dooega with family. I would suspect that Mary Malley also came from Dooega as several Malley families in 1901 census. No real help but perhaps narrow down.
Just checked out family in Dooega 1901 Owen Malley and wife Martha Kilbane they also have a son Hugh same as James Ginnelly, found their marriage Owens father was James Malley, could be another clue James is also a son of Ginnelly though he is James!!!!