I may have this wrong but Emma does not seem to turn up living with her Uncle Charles and family til 1871 Census.
1861 census she is a Pupil in Greenwich, Kent
RG9/401/42/25
1851 Census she is with Mother Mary;
1851 Census
57 Conduit St,
Leicester, Leicestershire
HO107/2088/210/15
Mary A BAINES, 36, Head, Widow, Annuitant, born Uppington, Rutland
Elener, 14, Daug, Scolar, born Leicester
EMMA, 6, Daug, Scolar, born Leicester
Marriage from IGI, Extracted;
Thomas BAINES
Mary Ann HILL, 13 June 1835, Preston, Rutland, England
Possible Deaths;
Mary Ann BAINES, June 1858, Leicester, 7a 109
Eleanor BAINES, December 1856, Leicester, 7a 117
The marriage Cert of Charles will give his Fathers name and occp;
Charles BAINES
Sarah GOWARD, December 1844, Oundle, 15 633
Trish
