A little background - Your original post is not very clear - thought you were referring to Lincoln Ontario but can see its Lincoln UK - so it is in your better interest that this thread is moved to the Bedfordshire board.
William Stock born 10 May 1821 - baptised 27 August 1826 - parents Robert Stock and Lydia
https://familysearch.org/ark:/61903/1:1:N28T-3XRWilliam Stock and Letitia Berrington - 29 October 1838 - Saint Peter,Bedford,Bedford.
https://familysearch.org/ark:/61903/1:1:N2L8-G5Xhttps://familysearch.org/ark:/61903/1:1:2DH8-FVChttp://www.stevengibbs.me.uk/Bedford-StPeterMarriages-1.htmHere is William Stock - Spital Street
Lincoln UK in 1881
William Stock 60 Ironstone Miner. Born Bedfordshire.
Letitia Stock 59
Henry Stock 20 Labourer.
Letitia Stock 7 Grand-Daughter.
The 1861 census shows the James Stock with parents that you refer to -
William Slock 39 Labourer at Iron Foundry.
Letitia Slock 38
John T Slock 8 March 1953 Bedfordshire.
James Slock 2 Born Bedfordshire. Frederick Slock 1 month.
England Selected Births and Christenings shows James Alfred Stock - baptised 1 August 1858 - Bedford Eng. Parents William and Letitia.
https://familysearch.org/ark:/61903/1:1:N2H3-T9TJames in Manitoba in 1891 with wife and children
James Stock 32
Roseanne Stock 32 This was altered to Rose Emma Stock - Born Eng 1859
Frank Stock 11 Born 1880 Eng.
Walter Stock 6 Born 1885 England.
Maiden Name of Rose was Fox who was a servant in Lincoln in 1871.
Marriage June 1877 - Lincoln - 7a 985 - Saint Nicholas In Newport, Lincoln UK
James mentioned here:-
http://gent-family.com/SK_Coal_Mines/mandscoalmine.htmlSandra