On the 1851 census Hannah was initially transcribed as Hannah Miugrane before being altered to Hannah Musgrave - a servant for the Spedding family at Cleator Forge Mill.
I found a birth for a Eleanor Musgrove Cockermouth District Jan/Feb/March 1852 - 10b 435 - Also a christening record for Eleanor Musgrove to a Hannah Musgrove - Christening Place :- St. John's, Workington, Cumberland. 6th April 1852. Those 2 things fit together nicely.
Eventually found a Elanor Margrave (Transcription error) born 1852 Workington and living with the following in 1861 :-
John Hall 27 Born Scotland.
Anna Hall 28 Born Workington
Elanor Margrave 9 Born Workington
Ann Hall 6 Born Workington
John Hall 3 Born Egremont
Alice Hall 1 month Born Egremont
RG 9 Piece 3949 Folio 5 Page 10 - Pitts - This is Egremont Area.
This looks more than likely like Hannah Musgrave under Ann Hall, birth year and place seem to fit.
Can't see a marriage for Hall - Musgrave though.
A lull in the birth of children who were born after Alice so looked for death of a John Hall - Whitehaven - Dec 1861 but could be anyone.
Forgot Margaret was aged 4 years on the 1881 census and Martha born 1870
Although the 1881 census says Hannah Musgrave is still married
Sandra