Hi Crystal,
I think I have tried nearly everything I can think of to find her......I suppose it's always likely that she was left off the 1861 census

Tried checking to see if she was with any of Job's married children.....no luck there. Only one of Job's daughters was unmarried in 1861 (I think)...anyway I have traced a Sarah Bull (b.1837) who I think is the correct one.....she is a servant in the household of William Cotton - at Blurton Staffs.
Elizabeth Bull (Finney/Hall) did have a few children from her first marriage to Samuel Hall (marr 1811). Possibly George Hall (b.1811) Emma Hall (b.1816).
On the 1871 Census RG10/2889 F 17 p 6 - Dividy Lane Caverswall Staffs.
There is a George Hall - age 40 - lodger. He is in the household of Job Bull & Elizabeth. This George Hall's birth place is listed as unknown...so it doesn't give us any clue as to where he came from. Anyway it may just be a coincidence that he has the surname HALL??.
Elizabeth Bull died in 1874 ...she was widowed about 1840.....I have her on all other census but the 1861

Oh well...on I plod.
Sarra