Probably a longshot, but don't suppose anyone would know if a family with parents John Lee and Mary Langhorn (?sp), who apparently moved from England to in or around Bothwell parish (possibly Thankerton, Holytown) and had children there in 1850's or 1860's, are linked in anyway to the Lees mentioned on this thread.
CitizenSmith, the Bellahill (?), in one of your posts above will have been Bellshill.