Both the IGI records mentioned in reply #12 give mother as Ellen Ryan.
By 1881 the family is in England- 2 Crown Passage High St., Minster In Sheppey, Kent, England (RG11 - Piece/Folio 0978/83, Page 35)
Henry Crockford, wid., 43, Ireland, general laborer dockyard
dau. Amelia S. Crockford, 14, Ireland, general servant
son John K. Crockford, 12, Ireland, scholar
son William Crockford, 11, Rochester Kent, scholar
son Charles Crockford, 9, Chatham Kent, scholar
boarder Alice Hackett, wid., 34, Chatham Kent, general servant
boarder Edwin C. Hackett, 10, Chatham Kent, scholar
boarder Elizabeth Hackett, 7, Southampton Hampshire, scholar
boarder Alice Hackett, 3, Chatham Kent, scholar
dau. Ellen R. Crockford, 8, Eastchurch Kent, scholar