I had always thought that my Conways were from Mayo but the 1901 census states that my g.g.grandfather, James Conway was born in Cork!
The names I am researching are:
David Conway born around 1790
Wife Mary, born around 1798, died Southport, UK 1860
James born Cork (?) 1830
Bridget born 1836
Ann born 1847
Mary born 1822
(all dates approximate)
Names which run through the generations are David, John, James, Edward, Terence. As I have only found James, there could be brothers with the above names who emigrated to Australia or USA.