Research suggests that this family was from Dymock and here are Census details:
1841 Census
Pithouse, Dymock
Given Name Surname Age Estimated Birth Year Gender Birth City Birth County Birth Country
Joseph Hill 30 1811 Male Gloucestershire England
Anne Hill 30 1811 Female Gloucestershire England
John Hill 7 1834 Male Gloucestershire England
Elizabeth Hill 6 1835 Female Gloucestershire England
Ann Hill 4 1837 Female Gloucestershire England
James Joseph Hill 1 1840 Male Gloucestershire England
Joseph James Hill 1 Week 1841 Male Gloucestershire England

1851
Timber Hill Farm
House Number Given Name Surname Relationship Age Estimated Birth Year Gender Birth Place
60 Joseph Hill Head 45 1806 Male Bromsberrow, Gloucestershire, England
60 John Hill Son 17 1834 Male Dymock, Gloucestershire, England
60 Elizabeth Anny Hill Daughter 16 1835 Female Dymock, Gloucestershire, England
60 Ann Hill Daughter 14 1837 Female Dymock, Gloucestershire, England
60 James Joseph Hill Son 10 1841 Male Dymock, Gloucestershire, England
60 Joseph James Hill Son 9 1842 Male Dymock, Gloucestershire, England
60 Sarah Pitt Servant 33 1818 Female St Hellens, Worcestershire, England
60 Ann Boulton Servant 32 1819 Female Rudford, Gloucestershire, England
60 Richard John Ady Visitor 21 1830 Male Gloucestershire, England
60 Hannah Iyles Servant 20 1831 Female Dymock, Gloucestershire, England

1871
Timber hill, Dymock
Household schedule number Given Name Surname Relationship Age Estimated Birth Year Gender Birth City Birth County Birth Country
98 Joseph Hill Head 63 1808 Male Bromsberrow Gloucestershire England
98 Ann Boulton Housekeeper 50 1821 Female Highleadon Gloucestershire England
98 James Joseph Hill Son 30 1841 Male Dymock Gloucestershire England
98 Ann Gurney Servant 14 1857 Female Kempley Gloucestershire England
98 Joseph Cox Servant 15 1856 Male Weston Herefordshire England

Joseph was widowed in 1851 so Ann would have died sometime between 1841 and 1851. A search of the Parish Records gives us this entry:
Year: 1842
Month: Jan
Day: 27
Surname: HILL
Forenames: Anne
Residence: The Pitt House Parish of Dymock
Age_at_death: 41
Officiating_Minister: J. Archibald
Event: Burial
Cause_of_death: [not sta
Memoranda:
Notes:
Register_Reference: P225 IN 1 / 13
Page_No: 2
Parish_Chapel: Newest

The Census tells us that the first child was born c1834 so the marriage is most likely to have taken place shortly before. Again a search of the records produces this entry:
Year: 1833
Month: Jan
Day: 22
Grooms_Surname: HILL
Grooms_Forenames: Joseph
Grooms_Age:
Groom_Condition: Bachelor
Grooms_Occupation:
Grooms_Residence: Dymock
Grooms_Fathers_Surname:
Grooms_Fathers_Forenames:
Grooms_Fathers_Occupation:
Brides_Surname: HARTLAND
Brides_Forenames: Ann
Brides_Age:
Brides_Condition: Spinster
Brides_Occupation:
Brides_Residence: Pauntley
Brides_Fathers_Surname:
Brides_Fathers_Forenames:
Brides_Fathers_Occupation:
Licence_or_Banns: Licence
Date_of_Banns:
Signature_or_Mark: Both sign
Witness_1: Alexander Symonds
Witness_2: Amy Symonds
Other_Witnesses:
Officiating_Minister: J Simons
Event: Marriage
Memoranda:
Notes:
Register_Reference: P125 IN 1/13
Page_Number: 57
Parish_Chapel: Dymock

This tells us that the marriage was by Licence so we search the Marriage Allegations and Bonds and this tells us that Joseph was a Farmer.

I have not been able to find Joseph Hill in the Census after 1871 so assume that he died shortly afterwards. This is a possible:

Deaths Jun 1874
HILL Joseph 67 Newent 6a 167

Burial:
Year: 1874
Month: Apr
Day: 23
Surname: HILL
Forenames: Joseph
Residence: Dymock
Age_at_death: 67 years
Officiating_Minister: Benj[amin] Ruck Kerne[?] Vicar
Event: Burial
Cause_of_death: [not stated]
Memoranda:
Notes:
Register_Reference: P225 IN 1 / 13
Page_No: 157
Parish_Chapel: Newest

This suggest that he was laid to rest with his wife but a search of the MI's on this site is negative. However a search of the Wills Index confirms his death in 1874:

Surname HILL
First Name Joseph
Abode Timber Hill Dymock
Occupation Farmer
Year Proved 1874
Page Number 196
Year of Death 1874
Month of Death Apr
Day of Death 18
Value Under £3000
Document Will
Notes
Will Number Will_01149

Beneficiaries and Others

Surname Forename Role Relationship Will Name
PRICE Ann Beneficiary Daughter HILL Joseph: Timber Hill Dymock
PRICE Elizabeth Amy Beneficiary Daughter HILL Joseph: Timber Hill Dymock
HILL James Joseph Beneficiary Executor Son HILL Joseph: Timber Hill Dymock
HILL John Beneficiary Executor Son HILL Joseph: Timber Hill Dymock
HILL Joseph James Beneficiary Executor Son HILL Joseph: Timber Hill Dymock
HAINES G W Witness HILL Joseph: Timber Hill Dymock
COOKE Philip Witness HILL Joseph: Timber Hill Dymock
REDDING S B Witness HILL Joseph: Timber Hill Dymock
BOULTON Ann Witness HILL Joseph: Timber Hill Dymock

A copy of Probate and Will can be obtained online at:
https://probatesearch.service.gov.uk/#wills

The Census tells us that Joseph was born in Bromsberrow c1807. This could be his Baptism:
Year: 1806
Month: Jul
Day: 20
Parents_Surname: HILL
Child_Forenames: Joseph
Fathers_Forenames: James
Mothers_Forenames: Elizabeth
Mothers_Surname:
Residence: Tenant of Russell`s End Farm
Occupation:
Officiating_Minister: Henry-Gorges Dobyns-Yate Rector
Event: Baptism
Memoranda: Mr
Notes:
Register_Reference: P63 IN 1/2
Page_Number:
Parish_Chapel: Bromsberrow

And Ann was born c1801 so this could be her baptism:

Year: 1801
Month: Jun
Day: 28
Parents_Surname: HARTLAND
Child_Forenames: Ann
Fathers_Forenames: William
Mothers_Forenames: Mary
Mothers_Surname:
Residence:
Occupation:
Officiating_Minister: E Evans
Event: Baptism
Memoranda:
Notes:
Register_Reference: P125 IN 1/10
Page_Number: 51
Parish_Chapel: Dymock

Mike