Given the connections it is interesting to note the various census entries (in case it helps someone unravel how everyone fits together):
1841 Census
Township: Charlton East Gr Poss Longhaughshield
Thomasin Tillie 60 Y
John Elliott 20 Ag Lab Y
Thomas Turnbull 14 Coal Miner Y
William Mole 12 Y
Mary Laidler 10 Y
1851 Census HO107/2417 folio 144 p43
Longhaughshields
Thomasin Tillie U 77 Pauper formerly house servant born Northumberland Clews
John Ridley Lodger Married 30 Agricultural Labourer born Northumberland Hillhead
Elizabeth Ridley Lodger married 29 born Northumberland Green End??
Mary Ridley Lodger 4 born Northumberland Longhaughshields
Thomasin Ridley Lodger 2 born Northumberland Longhaughshields
[There is a baptism of a Thomasine 7 August 1774, daughter of David Tilly, (abode) Clews, Baptisms, Bellingham parish]
[two pages & a few households later from the above 1851 census entry]
p146
Green End
Thomas Turnbull Head Unmarried 42 Agricultural Labourer born Northumberland Bellingham
Mary Turnbull Sister Unmarries 46 Housekeeper born Northumberland Bellingham
Mary Ann Turnbull Niece 7 born Northumberland Bellingham
1851 Census HO107/2423
Township of Elsdon
Dunshield
Joseph Patterson Hd Wid 71 Farmer of 630 acres emp 3 lab born NBL F_deugh
Joseph Patterson son Unm 32 Farmer’s son NBL Dunshield
Rebecca do dau Unm 29 born do
John do son Unm 17 born do
Mary Laidlaw Unm 19 House Serv NBL Longhaugh Shields
1861 Census TG9/3868
Charlton East
Longhaughshields
John Ridley Hd Widr 40 Ag Lab NBL St John Lee
Mary Ridley dau 14 NBL Bellingham
Elizabeth Ridley dau 7 born do
Isabella Ridley dau 4 born do
William Ridley son 1 born do
Mary Laidlaw Visitor Unm 30 House Serv NBL Thorneyburn
1861 RG9/3864 folio 73
NBL Coldwell & Swinburn
Fell Houses
William Ridley Hd Widr 47 Ag Lab NBL Kirkwhelpington
Mary dau 15 Dairymaid NBL Corbridge
Elizabeth dau 11 NBL Humshaugh
Isabella dau 9 do
William Laidlaw boarder 5 NBL Bellingham
John Laidlaw boarder 2 Bellingham
1871 Rg10/5144 folio 65
Dilston, Ecc Dist - Corbridge
Dilston
William Ridley Hd Widr 57 Ag Lab NBL Hartburn
Mary Laidlaw Unm 40 General Serv NBL Bellingham
John Laidlaw Boarder 12 Scholar born do
1881 Rg11/5102 NBL
Dilston West Cottage
William Ridley Hd Widr 66 Ag Lab NBL Hartburn
John Ridley son Unm 22 Ag Lab NBL Bellingham
Mary Laidlaw Serv Unm 50 General Servant Domestic NBL Bellingham
1901 Rg13/4773 folio 68 Newcastle on Tyne, Elswick, St James Benwell
23 Elliott Terrace, 4 rooms
William Laidlaw Hd M 45 Tailor NBL Bellingham
Margaret wife 45 Humshaugh NBL
Joseph son S 21 Labourer in Brass Foundry DUR Gateshead
Willemina dau 15 Bootshop Assistant NBL Newcastle on Tyne
William J son 14 Butcher’s Assistant born do
Frances dau 13 born do
Beatrice dau 12 born do
May dau 10 born do
Pearson son 9 born do
Gertrude dau 7 born do
Hilda dau 6 born di
Mary Laidlaw Mother S 70 NBL Bellingham
The online GRO index has births for John Laidlaw registered M Q 1859 Bellingham & William Laidlaw JQ 1855 Bellingham.
www.familysearch.org has a John Ridley baptised 14 April 1821 St John Lee (see 1861 census entry) son of Wm & Mary Ridley.
Also a William Ridley bap 28 May 1813 Hartburn son of William & Mary (see place of birth in above census entries). Not enough to establish John & William Ridley are brothers but not eliminating the possibility either.