Hi Peter,
there are quite a few possibilities for the parents John & Sarah Williamson but the entry for Hannah Williamson is much easier. I was about to post these two entries when redshank beat me to it.
One is the same finding for Hannah aged 8, as redshank posted. Here is the full entry.
1861 Census Cheadle Bulkeley RG9/2567 Folio: 116 Page: 19
Hunt Street
Thomas Williamson, head, 57, Band Maker ( employing 2 men & 7 boys ), Stockport
Hannah, wife, 59 , Stockport
William, son, un, 22, Band Maker, Stockport
Hannah Barrat,t dau, Mar, 27, Cotton Weaver, Stockport
Samuel Williamson, son, un, 22, Band Maker, Stockport
Eliza, da, un, 19, Cotton Weaver, Stockport
Esther, dau, 14, Cotton Weaver, Stockport
Joseph Barratt, grandson, 4, Stockport
Hannah Williamson, grand dau, 8, Domestic Servant, Stockport
Elizabeth Waters, sister, mar, Stockport
The best match for Hannah's parents I can see is the one I posted .Going by the birthplaces and the fact that this John Williamson's son is a Band Maker.
1861 Census Didsbury RG9/2867 Folio: 24 Page: 12
High Road West
John Williamson, head, 34, Green Grocer, Stockport
Sarah, wife, 36, Stockport
John Williamson, son, 11, Band Maker, Stockport
Sarah, dau, 9, Scholar, Stockport
Elizabeth, 6, Stockport
Thomas, 4, Stockport
Regards
Darcy