1851 Census Marown Parish
, 0360, 059, COCKRAINE, Alexander, Cottage B'Quinney, Head, Married, 39, Ag Lab, Ireland
, 0360, 059, COCKRAINE, Catherine, Cottage B'Quinney, Wife, Married, 36, , Ireland
, 0360, 059, COCKRAINE, Thomas, Cottage B'Quinney, Son, , 7, , Marown
, 0360, 059, COCKRAINE, Ellinor, Cottage B'Quinney, Daughter, , 5, , Marown
, 0360, 059, COCKRAINE, James, Cottage B'Quinney, Son, , 2, , Marown
, 0360, 059, COCKRAINE, Catherine, Cottage B'Quinney, Mother, Married, 60, , Ireland

Alexander Cochrane age 54 residence Douglas buried grave #299 on 3 Jan 1878

Can anybody help?
I would like some info on the Cochranes who lived on Man between 1851 and 1881.
Alexander Cochrane was born in Ireland and moved to Man before 1851. He was a gardener and died in Braddan in 1870. How can I find out where he was born and where I can get access to Manx records that will give me some more information