I do not have access to the full census but I do have access to an index for the 1851 census for Campsie which includes Lennoxtown. I can only see an entry for BAIN, as follows:
Enumerator Book 3, Page 34, Family 46, Location Lennoxtown
John Bain Age 36, born Greenock
Anne Bain Age 26, born Campsie
There is nothing under Bayne at all. Hope that may be of some help.