Sarah Cain, daughter of Patrick Cain/Keane and Elizabeth ?Cunningham, was born c1837 at Derryane, a townland in the parish of Tartaraghan (later Milltown) Co Armagh. Sarah emigrated to Sydney Australia on the ship Kate, arriving on 23 Dec 1856. She married William Thom from Aberdeen in 1857 in Pitt Town NSW.
Welcome to Ireland Reaching Out and apologies for the long delay in getting back to you.
I haven't been able to locate a baptism record for any children born to a Keane/Cain/Cunningham couple, even though records begin in 1835 for RC baptisms and 1833 for RC marriages. Neither could I locate a marriage record for Patrick. It might be a good idea to keep an eye on the Early Birth and Marriage Index. It is updated regularly and if your ancestor doesn't appear now, they may in the future.
In the meantime, I wanted to invite you to add your ancestor's details to our XO Chronicles. You can learn more about it HERE and it might be another avenue to consider so that your ancestor's details can be seen by others.
Best wishes
Clare Doyle
Genealogy Support