Hi Rose
So it looks like it is Ann Sarah Smith. In 1851 she was living with her family at 87 York Street, Westminster St Margaret (HO 107 1480 414 p10):
Richard Smith, Head, Marr, 50, Servant Gen, b. Middlesex, Westm
Elizabeth Do, Wife, Marr, 49, Laundress, b. Suffolk, Thurlow
Ann Sarah Do, Daur, U, 15, Scholar, b. Middlesex, Westm
Elizabeth Do, Daur, 12, Scholar, b. Do, Do
Ann Sarah was therefor born 1835-6.
George Noyce was probably honest about his age. Freebmd has him indexed as NOYC_ George, birth registered in Kensington, Apr-Jun 1845. The reference is very difficult to read in the original index, my guess is Kensington 3 ?27.
Freebmd has the death registration for Ann Noyce 36 in Jan-Mar 1885 Fulham 1a 181: I guess this is the Fulham death that Valda found.
All the best
Gobbo