I can find two wills for the Fairbairns on this site:
http://www.nationalarchives.gov.uk/documentsonline/Will of James Fairbairn, Nursery and Seedsman of Clapham , Surrey 22nd August 1829 PROB 11/1759
Will of Joseph Fairbairn, Nursery and Seedsman of Clapham , Surrey 11th May 1854 PROB 11/2191
LAMB INN, HINDON, WILTS. 1825
THOMAS HARRISON begs leave, most respectfully to return his sincere thanks to the Nobility, Gentry, and the Public in general, for the liberal patronage and support which they have afforded him during the many years that he has kept the above Inn; and he takes this opportunity of informing them, that he has declined business in favour of his Son-in-Law, Mr.JOHN FAIRBAIRN, whom he recommends to their notice, feeling confident that he will use every exertion to give general satisfaction.
JOHN FAIRBAIRN, having succeeded Mr.HARRISON in the above Inn, takes the liberty of soliciting most respectfully a continuance of the kind patronage which has been so many years conferred on his Father-in-Law; and he begs to assure the public, that no exertions shall be wanting on his part to secure to the LAMB INN a continuance of the character for comfort and good accommodation which it has always hitherto maintained.- Families may depend on finding good and well-aired Beds, genuine Wines and Spirits, Horses and Carriages of the best description, and every exertion on the part of J .FAIRBAIRN and his servants to render their accommodation as comfortable as at any Inn on the Road.
N.B.-The NURSERY and SEED BUSINESS will be continued by J. Fairbairn, in all its branches, as usual.
I am unable to find anything else on John Fairbairn, I'm Sorry
Brian