Hi Jean
I have checked my entries from the GRO index and census entries.
There were 4 births of an Elizabeth Scurr registered between 1850 & 1865. 2 in Cumbria, 1 in Yorkshire and 1 in Shoreditch, London which may be the one you want.
Reg Dec Qtr Shoreditch 1852 Elizabeth Scurr. Her parents were John William Scurr & Mary Ann Mitchell.
In 1861 she is listed on the census in Bishopgate, London as being born Kingsland, London.
1871 she is a servant in Tower Hamlets, London
1881 she is a Cook in Lee, Kent.
I have a record that Elizabeth Scurr married Thomas William Billings Dec Qtr 1885, Poplar
Hope this helps
Sharon