Are you sure about your information? From FreeBDM the only Joseph Bostock I see that may have been born in Haslington is registered in the March Quarter 1857
Births Mar 1857BostockJosephNantwich8a 295The district of Nantwich includes Haslington. A birth certificate, which you can order online would confirm the parents.
I'm not sure about your census reference either. The census for Joseph born Haslington, appears to be this one
1861 Yorkshire GuisboroughRefRG9/3655 86/29 Child Street John Bostock head mar 35 excavator born Cheshire Haslinton[sic] Mary do wife mar 34 born Cheshire Sandback Ralph do son 12 driver of horses Cheshire Haslinton Peter do son 10 scholar do do Joseph do son 4 do do do
The census you mentioned would seem to be this one 1861 Leicestershire Osgathorpe RG9/226958/8 and 9 Thomas Bostock head mar 38 Farmer 65 acres emp 1 boy & 8 men Leicestershire Breedon on the Hill Jane Bostock wife mar 38 farmers wife do Denington park Mary L E Bostock daur 10 scholar do Melbourne Thomas Bostock son 8 scholar do do Anne M Bostock daur 7 scholar do Breedon on the Hill Ellen Bostock daur 6 scholar Leicestershire Breedon on the Hill Joseph Bostock son 4 scholardo Osgathorpe Jonathon Bostock son 2 scholar do Diseworth Catherine Day governess U 27 governess do do Elizabeth Foster servant U 24 house servant do Breedon on the Hill Sarah Foster servant U 14 kitchen maid do do Charles Thompson servant 14 garden boy do do
There is this birth in Leicestershire, Births Jun 1857BostockJosephShardlow7b 343 - Shardlow includes Breedon on the Hill Osgathorpe is in the district Ashby De La Zouch - they seem to have the children's birthplaces slightly mixed perhaps as Ellen's registration seems to be there.
If you can confirm which Joseph is your person,he should be able to be traced back through the earlier census records.
When did your Joseph leave England? I see the Haslington man in 1871, but not easily the man in Leicestershire.