This looks like it could be John's family (before he married).
1851
Bourn Corby HO107/2095 Folio 74 Page 6
William Archer Head M 39 Ag Lab Lincolnshire Swayfield
Ann do Wife M 37 Lincolnshire Swayfield
Lois do Daur 13 Lincolnshire Swayfield
Thomas do Son 11 Lincolnshire Swayfield
Anne do Daur 10 Lincolnshire Swayfield
William do Son 8 Lincolnshire Swayfield
John do Son 6 Lincolnshire Swayfield
Mary do Daur 4 Lincolnshire Swayfield
Sarah do Daur 2 Lincolnshire Swayfield
Note
There is another John Archer born Swayfield with birth dates ranging from 1845 to 1847 on the censuses with parents Thomas and Ann. He still appears with his mother on the 1881 census, unmarried, and cannot therefore be the one who married Mary Robinson. Whereas the John shown above is not with his parents in 1871 or 1881 and could, therefore, be the one who married Mary. (He is not with his parents in 1861 either). Need to check in other ways to be certain.
DS
Hope no one minds me resurrecting this thread

My partner is descended from Thomas Archer age 11 in the above transcript.
While investigating the family I discovered that Lois had two illegitimate children, the younger being born in Bourne Workhouse.
What is intriguing me though is that she is listed as Lois Archer until 1881, but in 1891 and 1901 she is listed as Lois Crow widow (confirmed by children's names and ages). I can't see a marriage for her to a Mr Crow (other people have looked as well).
If anyone has any information as to how she became "Mrs" Crow I'd be very grateful for the information.