This looks like the FERREY family in 1861 - mistranscribed on the index I have as 
Terrey.  - enumerator's handwriting is not always easy to read!
1861 at 5 Union St, Southampton St Mary
William Ferrey   40, seaman, b Southampton
Caroline Ferrey   37, b Lymington
Charles Ferrey   11,, b Southampton 
Caroline Ferrey   9, b Southampton
Mary J Ferrey   5, b Southampton
John Ferrey   3, b Southampton
Alice Ferrey   1, b Southampton
1871, listed as Ferry 
at Cook St, Southampton St Mary. 
All other information is the same, except that John has an occupation  - mariner, and William is also 'mariner'
William Ferry   56
Caroline Ferry   47Mary J Ferry   16
John Ferry   14
Alice Ferry   12
Henry Ferry   10
1881 at 10 Duke St, Southampton St Mary
Caroline FERRY, widow, age 56, place of birth given as Milford.  there are two lodgers with her - Jane and Frederick DOLE
1891 at 27 Duke St, Southampton St Mary
Caroline FERRY   67, b Lymington
Hilda Pickering   11, granddaughter, b Southampton
Alice Pickering   8, granddaughter, b Southampton
FreeBMD shows these deaths, although the age is not right for William (ages given on census are a bit flaky though) and a couple of years out for Caroline  

 Dec qr 
1873 
William FERRY 52, death reg at Southampton   Vol  2c, page   6
 Mar qr 
1900   
Caroline   FERRY  74, death reg Southampton,    Vol 2c page   34
Stephen: FreeBMD has some deaths registered in Christchurch for FERREY 
Judith