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This looks like the William I found in 1851, still unmarried in 1861 - so discount?
1861 England Census
William Skarp Age: 24 Estimated Birth Year: abt 1837
Relation: Servant Gender: Male Where born: Holme Cultram, Cumberland, England
Civil parish: Waverton County/Island: Cumberland
Country: England Occupation: carter
Registration district: Wigton Sub-registration district: Wigton
ED, institution, or vessel: 10 Household schedule number: 11 Piece: 3926 Folio: 53 Page Number: 3
Robert Storey 31 farmer
Ann Storey 30
Thomas Storey 4
Richd Rigg Storey 2
Sarah Ann Storey 8 Months
Mary Dixon 22
Paul Ruddick 28
William Skarp 24
Source Citation: Class: RG 9; Piece: 3926; Folio: 53; Page: 3; GSU roll: 543207.

?
Holme Cultram is about 6 miles from Wigton.
1851 England Census
William Sharp Age: 14 Estimated Birth Year: abt 1837
Relation: Servant Gender: M (Male)
Where born: Holme Cultram, Cumberland, England
Civil parish: Holme East Waver County/Island: Cumberland Country: England
Occupation: farm servant
Registration district: Wigton Sub-registration district: Wigton
ED, institution, or vessel: 20 Household schedule number: 4 Piece: 2432 Folio: 376 Page Number: 2
Edward Railton 60
Thomas Harrison 33
John Harrison 32
Isaac Harrison 27
Jonathan Harrison 24
Mary Moffat 34
William Sharp 14
Source Citation: Class: HO107; Piece: 2432; Folio: 376; Page: 2; GSU roll: 87112.

This makes him too young to marry - is the age in 1881 wrong, and do you have evidence for that?
Thanks

This could be William in 1841, if the 1881 birthplace is correct:
1841 England Census
William Sharp Age: 4 Estimated Birth Year: abt 1837
Gender: Male Where born: Cumberland, England
Civil parish: Wigton Hundred: Cumberland County/Island: Cumberland Country: England
Registration district: Wigton Sub-registration district: Wigton
Piece: 166 Book: 11 Folio: 5 Page Number: 4
Robert Sharp 40 ag lab all born local
Isabella Sharp 30
Margaret Sharp 8
Mary Sharp 6
William Sharp 4
William Armstrong 3
Source Citation: Class: HO107; Piece: 166; Book: 11; Civil Parish: Wigton; County: Cumberland; Enumeration District: 1; Folio: 5; Page: 4; Line: 25; GSU roll: 241280.

Free bmd does not have a marriage for William Sharp in Cockermouth in 1851.

How do you know that either of them had not been married before?

Will keep on looking.

Have you confirmed that they are your ancestors -

Do you have William and Sarah's marriage certificate?

Do you have the birth certificate of James (your line)?

1861 census??

WILLIAMSON, Thomas Head Married M 65 1796 ...Keeper
Scotland VIEW
WILLIAMSON, Ruth Wife Married F 50 1811 Workington
Cumberland VIEW
SHARP, William Son In Law Married M 29 1832 Ship Carpenter
Workington Cumberland VIEW
SHARP, Sarah Daughter Married F 28 1833 Servant
Workington Cumberland VIEW

Piece: 3939 Folio: 83 Page: 16 Registration District: Cockermouth
Civil Parish: Workington Municipal Borough:
Address: Stanley Street, Workington County: Cumberland

1881 England Census
about William Sharp Name: William Sharp
Age: 46
Estimated Birth Year: abt 1835
Relation: Head
Spouse's Name: Sarah Sharp
Gender: Male
Where born: Wigton, Cumberland, England

Civil parish: Bromfield
County/Island: Cumberland
Country: England

Street Address: Heathfield
Condition as to marriage: Married
Education:

Employment status: View image
Occupation: Labourer Ag

Registration district: Wigton
Sub-registration district: Abbey Holme
ED, institution, or vessel: 6
Neighbors: View others on page
Piece: 5167
Folio: 27
Page Number: 1
Household Members: Name Age
William Sharp 46
Sarah Sharp 48
Mary Sharp 18
Robert Sharp 15
James Sharp 10

Hi
This family seemed to move about a lot, in the 1881 census they are
in Heathfield Bromfield, Cumberland with 3 children Mary b 1863,
Robert b 1866 and James b 1871 in Sunderland ( my line ) I don't seem to be able get any further back.
From what I can gather William & Sarah married in 1851 in Cockermouth
Cumberland I presume there where more children before Mary in 1863.
Can anyone help please ?

Arthur