Hi John,
Thank you for the information - which somehow got buried in the Christmas period email overflow, and I've only just read.
I've made a bit of progress since the initial posting.
Alice and Mary brought their mother, Mary, and younger sister, Ann, to Australia in 1855. There was (at least) one son, Thomas, who went to America.
The elder Mary then proceeded to bring out all but one known child of her sister, Ann. One of her nephews, John, married Alice in Australia.
These cousins of Alice and Mary were all born in Tipperary, Templemore area. So not sure if the older Mary and Ann came from there, or from Galway.
So now have Parents - Mary ?? and Bernard/Barney, Children - Alice, Mary, Ann and Thomas. (The elder Mary must have been one grand old lady - died at the age of 104, survived only by Ann.)
I'll certainly look at the sites you gave me - if nothing else, I'll have some geographic sense of where they were. As an Australian, I have a bit of difficulty with the 'condensed' nature of Irish geography, if you know what I mean.
Regards
Barbara