Hi,

This is likely William's parents on the 1901 census:

1901 census transcription details for: 2, Preston Cottages, East Barnet Road, East Barnet (Herts), New Barnet


National Archive Reference:
RG number: RG13
Piece: 1231
Folio: 110
Page: 35
Reg. District: Barnet
Sub District: Barnet
Parish: East Barnet (Herts)
Enum. District: 11
Ecclesiastical District: Lyonsdown Holy Trinity
City/Municipal Borough:
Address: 2, Preston Cottages, East Barnet Road, East Barnet (Herts), New Barnet
County: Middlesex

WELCH, James Head Married M 22 1879 Builders Labourer
New Barnet
WELCH, Emma Wife Married F 27 1874
High Barnet, Hertfordshire

Living in the same house, but shown as a separate family are the following

WELCH, Alfred Head Married M 24 1877 Builders Labourer
New Barnet, Hertfordshire
WELCH, Frances Wife Married F 24 1877
New Barnet, Hertfordshire
WELCH, Frances A Daughter F 2 1899
New Barnet, Hertfordshire

Checking out the 1891 census to see if James and Alfred are brothers it would appear that they are and their mother Eliza has remarried

RG number: RG12
Piece: 1054
Folio: 72
Page: 90
Reg. District: Barnet
Sub District: Barnet
Parish: East Barnet
Enum. District: 5
Ecclesiastical District: Lyonsdown
City/Municipal Borough:
Address: Holly House, Victoria Road, East Barnet, New Barnet
County: Middlesex

SEAGRAVE, Thomas Head Married M 39 1852 Labourer Gas Worker
Hadley, Middlesex
SEAGRAVE, Eliza Wife Married F 40 1851
High Barnet, Hertfordshire
WELCH, William H Son Single M 19 1872 Labourer Gas Worker
High Barnet, Hertfordshire
WELCH, Thomas Son M 16 1875 Milkman
High Barnet, Hertfordshire
WELCH, Alfred Son M 14 1877 Oilmans Assistant
High Barnet, Hertfordshire
WELCH, James Son M 12 1879 Scholar
High Barnet, Hertfordshire
SEAGRAVE, Florence M Daughter F 4 1887
High Barnet, Hertfordshire
SEAGRAVE, Ethel M Daughter F 2 1889
High Barnet, Hertfordshire
BATNER, John Boarder Single M 20 1871 Railway Labourer

I hope this helps with your research. I can help you further just let me know what details you are looking for.

Forgot to put, the likely marriage of James and Emma

Name: WELCH, James
Name: LODGE, Emma
Registration district: Barnet
County: Middlesex
Year of registration: 1900
Quarter of registration: Jan-Feb-Mar
Volume no: 3A Page no: 299

Dear Shellyb

I have to say a great THANK YOU for all this info . Plenty to work on now , thought I would never get started .

Thanks and much appreciated , Sincerely Dave