This information is from LDS film of Ballinakill church records. This is the only early Connair I noted because the child had a sponsor with the surname I am researching. There may have been more Connair's but that was not what I was looking for.
Oct 1860, Joannes Connair, fa. Thomas, mo. Mary Cleary sponsors Ferdinard Clare & Mary Donelan. No townland stated.
from Griffiths Val., I believe Michael Connair's land was transferred to Martin Spain who may have married Sarah Connair. 1911 census for this property lists, Spain Martin, 35, widow; Mary 6, Michael 5, Thomas 3, Mary Connair, mother-in-law 81, Bridget Connair sister in law 54.
Also from 1911 census, Connair John 57, Mary 39, married 16 years, six children, William 10, Michael 8, Mary 14, Bridget 12, Catherine 6, Anne 4. (I believe wife to be Mary Murphy)