This would be Peter's death registration - Warrington civil registration district includes Haydock.
Deaths Sep 1878
HUGHES Peter 37 Warrington 8c 99
So Peter would have been born circa 1841/2
In Haydock on the 1871 census you have this Peter.
RG10 3900 folio 114
Old Fold Haydock Lancashire
Joseph Hughes 77 Haydock, Lancashire, Head Married Labourer
Lydia Hughes 78 Haydock, Lancashire, Wife Married
Peter Hughes 29 Haydock, Lancashire, Grandson Coal miner
1861 census RG9 2788 folio 70
Old Fold Row Haydock Lancashire
Joseph Hughs 65 Haydock, Cumberland, Head Married Agricultural Labourer
Lydia Hughs 67 Haydock, Lancashire, Wife Married
William Hughs 31 Haydock, Lancashire, Son Coal Miner
Joseph Hughs 28 Haydock, Lancashire, Son Coal Miner
Peter Hughs 19 Haydock, Lancashire, Son Coal Miner
1851 census HO107 2202 folio 50
Old Fold Haydock Lancashire
Joseph Hughes Lydia 34 Haydock, Lancashire, Head Married Agricultural Labourer
Lydia Hughes 35 Haydock, Lancashire, Wife Married
William Hughes 21 Haydock, Lancashire, Son Coal Labourer
Joseph Hughes 18 Haydock, Lancashire, Son Coal Labourer
Peter Hughes 9 Haydock, Lancashire, Grandson Scholar
James Hughes 9 Haydock, Lancashire, Grandson Errand Boy
plus 2 lodgers
Births Sep 1841
HUGHES James Warrington 20 769?
HUGHES Peter Warrington 20 765
So strong evidence that Peter had a twin called James, but none so far that he had a brother called William, but he did have an uncle of that name (on the 1901 census he seems to have been a casual pauper in Pontefract Union Workhouse). You would need to know Peter's parents' names from his birth certificate to track them in Haydock to see whether, though Peter lived with his grandparents, there were any other siblings for Peter living with his parents (if they were still alive and their deaths were not the reason Peter and James were living with their grandparents)
Possible deaths for James
Deaths Mar 1852
Hughes James Warrington 8c 67
Deaths Sep 1855
Hughes James Warrington 8c 6[9_]
1841 census HO107 524/8 folio 33 page 27
Borded Barne Haydock Lancashire
Joseph Hughes 40 Lancashire Collier
Lydia Hughes 45 Lancashire
Betty Hughes 25 Lancashire,
Ann Hughes 20 Lancashire
Ellen Hughes 15 Lancashire
Milfred Hughes 13 Lancashire
William Hughes 11 Lancashire
Joseph Hughes 8 Lancashire
From the IGI
JOSEPH HUGHS
LYDIA THOMASON
Marriage: 04 OCT 1815 Winwick, Lancashire
I've followed all William Hughes born Haydock around the time of Peter on later censuses and they appear to be coalminers.
Peter's name appears here
http://www.dmm2.org.uk/uknames/u1878-02.htmin the list of those killed
Date: 7th June 1878
Colliery: Haydock, Wood Pit
Cause: Explosion of firedamp caused by roof fall
Lives Lost: 189
This website is Ian Winstanley's who apparently has written a book on the Haydock disaster
http://www.cmhrc.pwp.blueyonder.co.uk/igw.htmit is called
'Weep Mothers Weep', the story of the Wood Pit disaster
Further information
http://dmnw26769.pwp.blueyonder.co.uk/collieries/mstc.htmTo follow Peter's descendants on the 1881-1901 census you would have to tell us Peter's wife's name and children, though this family is a possibility on the 1881 census.
RG11 3788 folio 119
Old Went Haydock Lancashire
Alice Hughes 40 Haydock, Lancashire, Head Widow Domestic Charwoman
Mary Hughes 8 Haydock, Lancashire, Daughter
Elizabeth Hughes 7 Haydock, Lancashire, Daughter
William Hughes 5 Haydock, Lancashire, Son
Winifred Hughes 3 Haydock, Lancashire, Daughter
Peter Hughes 2 Haydock, Lancashire, Son
If this was the couple the only marriage that fits is this one.
Marriages Dec 1871
Hughes Peter Prescott 8b 1097
Tyrer Alice Prescott 8b 1097
Regards
Valda