Looks like Charlotte's son William married Mary Ann HURST in 1882. His marriage certificate would be useful, if it shows his father's name and occupation.
Marriages Jun 1882 / Basford 7b 286
BREEDON, Henry / MOODY, Sarah Ann
SWAIN, William / HURST, Mary Ann
(Henry BREEDON is with wife Sarah Ann in 1891).
1891 / RG12 piece 3747 folio 15 page 23 / 3 Camplin Yard, Stanley cum Wrenthorpe, Wakefield
SWAIN, William / Head / M / 34 / Coal Miner / Oldhill, Staffordshire
SWAIN, Mary A / Wife / M / 37 / Fairley, Staffordshire
SWAIN, Annie / Dau / 7 / Scholar / Hucknall Torkard, Staffordshire
SWAIN, Charlotte / Dau / 5 / Scholar / Hucknall Torkard, Staffordshire
SWAIN, Sarah A / Dau / 2 / Denaby Main, Yorkshire
SWAIN, Edward / Son / 7m / Denaby Main, Yorkshire
(Hucknall Torkard is actually in Nottinghamshire, not Staffordshire as the enumerator has written).