If you put the surname Faile into the basic search screen at Scotland's People, you get one reference from the statutory records, a marriage in 2008, one from the 1865 valuation rolls, and 20 baptisms, 6 burials and 5 proclamations of banns from the church records before 1855. Most of these are in Leith, and none is in Lanarkshire. There are no census records, no wills or other legal records,a nd none of the people mentioned is named either George or Malcolm.
I looked at the index to the registers of sasines for Lanarkshire from 1618 to 1870, and there are no references there to the surname Faile. This is curious because if George Faile's daughter inherited land from her father, it should have generated a record in the register of sasines.
The catalogue of the National Records of Scotland has 5 references to the word 'faile' but at least one of them makes it clear that it is a verb, not a personal name.
I wonder if Faile is an alternative spelling of some other name? And could the daughter have taken over the tenancy of her father's farm or house, rather than actually owning it? A transfer of a tenancy would not involve a change in the ownership of land, and hence would not be recorded in the registers of sasines.
In the absence of any useful references on Scotland's People or in the National Archives, I think you will struggle to find anything at all about your George Faile.
