I have traced back to Patrick Beirne (born 1839) from Roscommon who married Onny Healey and had 4 boys:-

Patrick (circa 1880)
John James (1880)
Thomas (1878)
Martin (1882)

I have very little information about John and Thomas as they moved from Roscommon to America where they died.
Patrick and Martin both moved to England and I have traced most of the connections to these 2 brothers.

I am a decendent of Martin (who on arrival to England changed his name to 'Byrne' due to being illiterate).

Anyone with any more information please let me know.