I think her mother is Charlotte Lofts b 1840 Camberwell.Although she is given as b 1843 in the census.
in the 1871 census Camberwell I found
Elizabeth Lofts Widow b 1804 Hereford
Charlotte Lucking Widow b 1843 Dulwich Surrey
Edwin Lucking b 1864 Middlesex
Alice Lucking b 1867 Middlesex
James Lofts b 1830 Surrey
in 1881 in Buckinghamshire
Thomas White b 1851
Charlotte White b 1843 b dulwich,Surrey
Walter White b 1868
Alice Luckin b 1869 b Marylebone Middlesex
in 1891 Camberwell
Thomas White b 1851
Charlotte White b 1843
Alice Luskin b 1869 barmaid b St Pancras,Middlesex
Charlotte Luckin married Thomas White in 1875 in Camberwell
I looked for a marriage of a James Luckin to a Charlotte Lofts.....couldn't see one at first,,,but if you look for a marriage for James Luckin,,you see one in Camberwell in J/A/S quarter 1863 volume 1 d page 792,,,no Charlotte named,,,one of the brides is missing,,,a check for a Charlotte Lofts marriage gives the same year,,no place given,,but the same volume and page number !
So James married Charlotte Lofts in 1863,,has at least 2 children,,,Edwin in 1864,,and Alice in 1868,,,But by 1871,,his wife is a widow,,,,she then marries Thomas White in 1875.
unfortunately,,i cannot see a death for James,,,or track him in the census,,,which is why I asked about his occupation on the Alices marriage certificate,,,did it just say "deceased" ?
more work to be done,,,i guess you could order Charlotte and James marriage cert? cheers GB