I can't see a man with the surname Amos Hung in England in the time period you are interested in
http://uk.geocities.com/becky62655@btinternet.com/1868.htmlThis looks to be a possibility for the family
1871 census RG10 3329 folio 44
Marsh Road Gedney Lincolnshire
William Amos 36 Sutton Bridge Lincolnshire Head Married Ag lab
Susan Amos 34 Walton Norfolk Wife Married
John Amos 13 Long Sutton Lincolnshire Son
(William on the 1861 census)John F Amos 12 Long Sutton Lincolnshire Son
(Frederick on the 1861 census)Elizabeth Amos 9 Long Sutton Lincolnshire Daughter
Charlotte Amos 5 Long Sutton Lincolnshire Daughter
Charles H Amos 2 Gedney Lincolnshire Son
George Amos 2 months Gedney Lincolnshire Son
Regards
Valda