Possible siblings for Emily
Eliza Harriet Mary 1850 Bethnal Green
James William 1852 St George in the East
Mary Ann 1854
Harriett Sarah 1857
Elizabeth Ann 1859
*Emily 1862 St Pancras
Alice 1864 Islington
I agree with this completely - birth entries all show mmn as Surridge.
However, cannot find a marriage between James William Baker and Eliza Ann/e Surridge.
I believe that Eliza Harriet Mary (as registered) morphed into Eliza Ann (who married Alfred Oliver Nunn 1871). In 1861 she is in Romford with her paternal grandmother Sarah Ann (who married Samuel Hunt 1848 Bethnal Green.
James William born 1852, died 1855
Harriet Sarah born 1857, died 1858
By 1871 father James William Baker is a widower in Mile End.
James Baker married Sarah Ann Conway 10/6/1827 Barking, Essex and son James William bp.17/2/1828 Romford. Looks like father James was buried same year on 25/9/1828.
In 1841 Sarah Baker is a victualler with her sons James Baker 14 and John Conway bc.1824 (the latter presumably illegitimate).
So, in conclusion, Eliza Ann Baker and Emily Baker were sisters.
Annette