Many thanks for the reply. I can find no information for this family before 1861 using England records and I don't have access to Ireland records.
In 1861 the family are living in County Durham England and Bridget is already a widow. The grown up children are working as agricultural labourers or coal miners.
The research is further complicated by the different spelling of the family surname form census to census - Cain Caine Kane Curn.
There is free access to many Irish records. That's the good news.
Most Ireland census records from 19th century were destroyed.
Registrations of births and deaths and Catholic marriages began 1864 so too late for your Kane family. Images of many Catholic parish registers are online on the free to view National Library of Ireland website.
https://registers.nli.ie/ However, existence of registers from first half of 19th century is patchy for most parishes in Mayo.
Irish Genealogy Toolkit is a guide to researching Irish ancestors.
http://www.irish-genealogy-toolkit.com/Ireland Reaching Out is a free family history website & forum for the Irish diaspora. It's arranged by county and by civil parish. It also has regular background articles about many topics.
https://irelandxo.com 1861 census. Was it the family in Newbottle, County Durham, registration district Houghton-le-Spring? I've only looked at a transcription on Family Search. This has Scotland as place of birth for all of them. Is this a transcription error or does it indicate that the family spent time in Scotland prior to crossing the border to County Durham? (An Irish coal miner with my surname did that between 1851 & 1861.) If they were in Scotland they may have been on 1851 Scotland census.
Do any of them give a father's name when they married?
I couldn't find Dominick on a later census. There was however a young Dominick Kane in Newbottle on 1871 census + brother & sisters, with widowed mother, Winifred. Possible baptism for this Dominick December 1860, Houghton-le-Spring, father Patrick, mother Winifred (maiden surname MacNamara). There was a Patrick Kane, 45, a colliery labourer, born Ireland, in Newbottle on 1861 census with wife Mary Ann. Was Patrick a relative? Newbottle seems to have been a small place so everyone probably knew everyone else.
Btw Dominick ending in "k" instead of "c" is a Mayo spelling.
Other Kane variants I've come across are Cayne, Kyne, Keane. A Kane was godfather to a Mayo ancestor of mine, a neighbour of my family and perhaps a relative.
