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Reading the posts more carefully I see that emigration occurred in 1856 or thereabouts.

Thanks very much for taking the time to produce such detailed replies Monica. The son David certainly seems to clinch it along with the name variations and the death certificate.

Now I've got to work out if this William Henry from Gatehead was my gg grandfather as a result of fathering two illegitimate children by one Mary Mathieson in 1850/1 and 1853 or if my gg grandfather was a randy coal miner living in Riccarton who was still fathering children at the age of 67 (with a much younger wife I hasten to add).

Apart from the name and occupation I have very little to go on but now I've returned to this genealogical puzzle I'm determined to crack it. DNA testing here I come.

With regard to my search for a William Hendrie/Hendry/Henry who fathered two children with Mary Mathieson, William (abt 1850) and Margaret (1853), it now looks suspiciously like William Hendry (b Riccarton, 1809; d 1879, Kilmarnock).
He was married to Mary Ann Smith from Ireland (m 1834). They had no children and Mary died after the 1851 Census but before 1855.
William then married Mary Drysdale (again from Ireland) in 1858. They had four children, Mary Hendry (1863), William Hendry (1867), Jeanie Hendry (1870) and John Hendry (1876).
I believe on the basis of location and occupation, but cannot prove, that William Hendry had a relationship with Mary Mathieson between his two marriages.
If anyone has any knowledge of this William Hendry I would be delighted to hear from them.

There is information on the internet regarding the parentage of William Bruce Hendrie (b 1850) which give the father as William Wyllie Hendrie. I believe this to be wrong.

A search of the Ayrshire Directory 1851-2 on CD produced no matches for McLatchie.  Searching for 'Blacksmith' produced many results but none with names that approximated McLatchie. Hope this helps.