Is this 'your' Peace family on the 1871 Census ...

1871 Census
Joseph Peace - Head - Widower - Male - Age 69 - Occupation: Mungo Mnf/frmr Emp 3 grls / 1 mn (sic) - Born: Ossett, Yorkshire
Thos Peace - Son - Unmarried - Male - Age 38 - Occupation: Rag Merchant employs 5 females - Born: Ossett, Yorkshire
Sarah Peace - Daughter - Unmarried - Female - Age 34 - No occupation listed - Born: Ossett, Yorkshire
Joseph Peace - Son - Unmarried - Male - Age 26 - Occupation: Clerk in Court of Probate - Born: Ossett, Yorkshire
Piece: RG10 / 4606 - Place: Soothill, West Riding of Yorkshire - Enumeration District: 5
Civil Parish: Soothill - Ecclesiastical Parish: St Peters
Folio: 28 - Page: 4 - Schedule: 20
Address: 19 Street Side
Looking further along the street are several other Peace families - are they connected? There are loads of people with the surname Peace from Ossett, Yorkshire. Looks as though they could all be related to one another.
Living at 36 Street Side:
Uriah Peace, Aged 23, Miner; his wife Harriet, Aged 20 and daughter Anne Eliza aged 1.
Living at No 39 Street Side:
John Peace, aged 34, his wife Elizabeth aged 30 and daughter Hannah aged 9.
Living at No 43 Street Side:
William Peace aged 72 and his wife Mary Baily Peace aged 71.
[I find the name Baily interesting as there is a Thomas Bailey Peace in your original family ...]Living at No 17 Street Side:
Grace Peace aged 31 and Peter Peace aged 5 listed as Boarders.
Hope this information is helpful.