Hi Swally,
This is your family here in the 1881 Census.
Dwelling: No 101 Messrs Robert Addie & Sons Houses
Census Place: Shotts, Lanark, Scotland
Source: FHL Film 0203704 GRO Ref Volume 655-2 EnumDist 3 Page 52
Marr Age Sex Birthplace
John NEIL M 29 M Carluke, Lanark, Scotland
Rel: Head
Occ: Iron Miner
Mary NEIL M 29 F Shotts, Lanark, Scotland
Rel: Wife
Isabella NEIL 8 F Shotts, Lanark, Scotland
Rel: Daur
Occ: Scholar
Arthur NEIL 6 M Carnwath, Lanark, Scotland
Rel: Son
Occ: Scholar
James NEIL 4 M Dalserf, Lanark, Scotland
Rel: Son
Janet S. NEIL 2 F Shotts, Lanark, Scotland
Rel: Daur
Margaret NEIL 5 m F Shotts, Lanark, Scotland
Rel: Daur
Another family for the same area showing Birthplace as Carluke:
Dwelling: No 47 (Benhar Coal Coys Houses)
Census Place: Shotts, Lanark, Scotland
Source: FHL Film 0203704 GRO Ref Volume 655-2 EnumDist 3 Page 26
Marr Age Sex Birthplace
Arthur NEIL M 59 M Carluke, Lanark, Scotland
Rel: Head
Occ: Coal Miner
Janet NEIL M 57 F Shotts, Lanark, Scotland
Rel: Wife
Occ: Miners Wife
Thomas NEIL U 27 M Carluke, Lanark, Scotland
Rel: Son
Occ: Coal Miner
Elizabeth NEIL U 22 F Cambusnethan, Lanark, Scotland
Rel: Daur
Occ: Formery Domestic Servt
Robert NEIL U 19 M Cambusnethan, Lanark, Scotland
Rel: Son
Occ: Coal Miner
William NEIL U 17 M Carluke, Lanark, Scotland
Rel: Son
Occ: Coal Pit Bottomer
Janet NEIL U 15 F Carnwath, Lanark, Scotland
Rel: Daur
James NEIL 13 M Carnwath, Lanark, Scotland
Rel: Son
Occ: Pony Driver In Coal Pit
Could be your Walter Hunter
Dwelling: No 16 (Messrs R Addie & Sons Houses)
Census Place: Shotts, Lanark, Scotland
Source: FHL Film 0203704 GRO Ref Volume 655-2 EnumDist 3 Page 7
Marr Age Sex Birthplace
Walter HUNTER M 34 M Old Monkland, Lanark, Scotland
Rel: Head
Occ: Iron Miner
Susan HUNTER M 32 F New Monkland, Lanark, Scotland
Rel: Wife
Occ: Miners Wife
Walter HUNTER 11 M Shotts, Lanark, Scotland
Rel: Son
Occ: Scholar
Jane HUNTER 8 F Armadale, Linlithgow, Scotland
Rel: Daur
Occ: Scholar
John HUNTER 6 M Armadale, Linlithgow, Scotland
Rel: Son
Occ: Scholar
Janet W. HUNTER 1 F Shotts, Lanark, Scotland
Rel: Daur
Could not find Agnes King born around 1874 in Shotts area. (If you know where she was from, I can look it up)
Now, there are two Maggie/Margaret Frame’s for this area (I have posted both)
Dwelling: Salisburgh
Census Place: Shotts, Lanark, Scotland
Source: FHL Film 0203704 GRO Ref Volume 655-1 EnumDist 3 Page 4
Marr Age Sex Birthplace
James FRAME M 39 M Carluke, Lanark, Scotland
Rel: Head
Occ: Spirit Merchant
Betsy FRAME M 32 F Bothwell, Lanark, Scotland
Rel: Wife
Annie FRAME 7 F Bothwell, Lanark, Scotland
Rel: Daur
Occ: Scholar
Marion FRAME 5 F Bothwell, Lanark, Scotland
Rel: Daur
Occ: Scholar
Elizabeth FRAME 3 F Bothwell, Lanark, Scotland
Rel: Daur
Margaret FRAME 2 F Bothwell, Lanark, Scotland
Rel: Daur
Margaret MC GARRY U 17 F N K, Lanark, Scotland
Rel: Serv
Occ: General Servant Domestic
Dwelling: Mc Guires Land
Census Place: Shotts, Lanark, Scotland
Source: FHL Film 0203618 GRO Ref Volume 626-B EnumDist 5 Page 17
Marr Age Sex Birthplace
Thomas FRAME M 22 M Shotts, Lanark, Scotland
Rel: Head
Occ: Coalminer
Sarah FRAME M 24 F Camnethan, Lanark, Scotland
Rel: Wife
Occ: Coalminer Wife
Maggie FRAME 1 F Shotts, Lanark, Scotland
Rel: Daur
George FRAME U 19 M Shotts, Lanark, Scotland
Rel: Brother
Occ: Coalminer
Robert FRAME U 16 M Shotts, Lanark, Scotland
Rel: Brother
Occ: Coalminer
Charles FRAME U 14 M Shotts, Lanark, Scotland
Rel: Brother
Occ: Coalminer
John FRAME 10 M Shotts, Lanark, Scotland
Rel: Brother
Occ: Scholar
Marion FRAME 8 F Shotts, Lanark, Scotland
Rel: Sister
Occ: Scholar
There was only one Thomas McClure that I could find for this area
Dwelling: Public House
Census Place: Shotts, Lanark, Scotland
Source: FHL Film 0203618 GRO Ref Volume 626-B EnumDist 5 Page 2
Marr Age Sex Birthplace
Janet WATSON W 69 F Shotts, Lanark, Scotland
Rel: Head
Occ: Spirit Dealer
Ann G. WATSON U 25 F Shotts, Lanark, Scotland
Rel: Daur
Occ: Spirit Dealer Daur
Jane STEWART U 20 F Hamilton, Lanark, Scotland
Rel: Servant
Occ: Gen Serv Domestic
Lily MC CLURE M 28 F Shotts, Lanark, Scotland
Rel: Daur
Occ: Housekeeper
Wm. MC CLURE M 29 F Cam Nethan, Lanark, Scotland
Rel: Son In Law
Occ: Iron Works Pay Clerk
Thomas MC CLURE 4 m M Glasgow, Lanark, Scotland
Rel: Gr Son
Occ: Clerks Son
The names of Findlay, McDougall, Hardie, Rae and Watson are all found in this area. As none of the names mentioned would have been born at the time of the 1881 Census, I have not listed the families. If you know of some of the names of the older family members, I can try and find them on the census.
Hope this helps.
Janice