RootsChat.Com

As a newcomer to this site with an interest in London I thought I'd see if I could find anything.

This is probably not helpful at all, but a search on line gave the following variants of Henry Barber in Chelsea 1861. 

The last one came up with a servant called Caroline, but i don't think its your man.

BARBIER JUNR, Henry     19     M     Chelsea    
BARKER, Henry    10    M    Chelsea    
BARKER, Henry    53    M    Chelsea

BARKER, Henry     Head     Married     M     53     Brewers Agent
   London
Middlesex    
BARKER, Ann    Wife    Married    F    54    
   Norfolk    
KING, William    Visitor    Married    M    60    Gentleman
   Bucks    VIEW
KING, Ann    Wife    Married    F    60    
   Wiltshire    VIEW
BETT, Caroline    Servant    Unmarried    F    16    Servant General
   London
Middlesex    VIEW
RG number:
RG09    Piece:
33    Folio:
14    Page:
23     
     
Registration District:
Chelsea    Sub District:
Chelsea North-west    Enumeration District:
   Ecclesiastical District:
St Lukes
     
Parish:
Chelsea    City/Municipal Borough:
   Address:
1 , Stanley Villas    

Another general search on Henry Barber and Caroline brought forth;

BARBER, Anne H     Head     Widow     F     66     Fund & Land Owner Retired Officer
   Haly Maple British Subject    VIEW
BARBER, Henry H    Son    Married    M    34    Mills Merchant From Army
   London
Frgent Park    VIEW
BARBER, Diana    Wife Of Son    Married    F    28    Wife Of Henry & Barber
   Ireland Eyre Court    VIEW
BARBER, Diana M H    Daughter       F    5    Daughter Of Barber
   Ireland Eyre Court    VIEW
BARBER, Alice H    Daughter       F    4    Daughter Of Barber
   Ireland Gortnor Abbey    VIEW
HYNES, Honora    Servant    Unmarried    F    28    Nurse Servant
   Ireland Loughren    VIEW
MCKENZIE, Caroline    Servant    Unmarried    F    42    Cook
   Limerick
Ireland    VIEW
RG number:
RG09    Piece:
775    Folio:
77    Page:
20     
     
Registration District:
Brentford    Sub District:
Twickenham    Enumeration District:
4    Ecclesiastical District:
St Mary
     
Parish:
Twickenham    City/Municipal Borough:
   Address:
, Park Road    

And the final general search on Henry Barber and Caroline brought forth;
Now would a whitesmith from Devonport count as an engineer - probably, most of these chaps called themselves engineers later, buit it is definitely not Plumstead.

BARBER, Henry J     Head     Married     M     36     Whitesmith
   Devonport
Devon    VIEW
BARBER, Caroline    Wife    Married    F    40    
   Plymouth
Devon    VIEW
BARBER, Elizabeth    Daughter       F    10    Scholar
   Woolwich
Kent    VIEW
BARBER, Caroline A    Daughter       F    11    Scholar
   Plumstead
Kent    VIEW
BARBER, William H    Son       M    1    
   Plumstead
Kent    VIEW
RG number:
RG09    Piece:
409    Folio:
33    Page:
26     
     
Registration District:
Lewisham    Sub District:
Plumstead    Enumeration District:
9    Ecclesiastical District:
     
Parish:
Plumstead    City/Municipal Borough:
   Address:
29 , Comberbach Terrace, Burrage Road    

Perhaps this will exclude some possibilities.  Let me know when you are successful.

Excellent.  Many thanks.

Simon