There are a few George Hardcastle's who married a Jane in the early 1860's
This appears to be the one you have found:
June qtr 1863
York district Vol 9d, Page 80
Hardcastle, George
Barrow, Jane
But this would appear to be more likely?
March qtr 1863
Sheffield district vol 9c, page 401
Hardcastle, George
- and on the same page -
Redfearn, Jane
Do you have the marriage certificate?
Or can you tell us how you know you have the right Jane?
I did a search on Jane, born 1841, in Coal Aston on the 1861 census, and only 1 popped up:
Reference RG09, Piece 3474, Folio 91, Page 8
110 London Road, Eccleshall Bierlow, Sheffield
Whitworth, William Head M 55 Brewer b Milton, Wiltshire
Whitworth, Ann Wife F 57 b Kingston, Surrey
Redgen, Jane Servant F 20 Domestic Servant b Coal Aston, Derbyshire
but the original form looks like Redfern