Elizabeth would have been born about 1738, making her about 19 or 20 when she first married, and 41 when she had her last child, and it’s assumed Joseph Stocks would have been younger than Elizabeth (who had been married. If age at death is corret, then he was born in 1743.

There is only one Huddeersfield Baptism for a Joseph Stocks about this era, son of David from Fartown, Huddersfield Parish on 6 May 1739. Fartown is 1.5 miles North of Huddersfield. David had Samuel, Jane, Joseph, Benjamin and Richard.  This is the best match!

Name:    Joseph Stocks
Event Date:    6 May 1739
Event Type:    Baptism
Parish:    Huddersfield, St Peter
Father's name:    David Stocks
Text:   "Joseph of David Stocks, Fartown"

Name:    Joseph Stocks
Gender:    Male
Baptism Date:    6 May 1739
Baptism Place:    St Peter,Huddersfield,York,England
Father:    David Stocks
FHL Film Number:    262537, 942 B2M V. 2

There is one other baptism on 1 Jun 1740, at Coley, Halifax, son of Michael but this is also too far north. However, if you expect his son George to name a son after his grandfather (a common practice), then Michael is a fit (but not Benjamin or Job, Georges other sons). Michael had Joseph, Esther, Merct and John, so none of the siblings match family names.

Name: Joseph Stockes
Birth Date: 1743
Age: 57
Event Date: 2 Jan 1800
Event Type: Burial 
Parish: Almondbury, All Hallows

Text reads; "Joseph Stocks of Berrybrow, Mason at 57" but actually, he was older (if baptism is correct).

Name:    Rd Stocks
Event Date:    7 Mar 1741
Event Type:    Baptism
Parish:    Huddersfield, St Peter
Father's name:    David Stocks
Text:  R'd of David Stocks, Fartown


Name:    Rd. Stocks
Gender:    Male
Baptism Date:    7 Mar 1741
Baptism Place:    St Peter,Huddersfield,York,England
Father:    David Stocks
FHL Film Number:    262537, 942 B2M V. 2

Name:    Benj Stocks
Event Date:    21 Sep 1744
Event Type:    Baptism
Parish:    Huddersfield, St Peter
Father's name:    David Stocks
Text: Benj of David Stocks, Fartown - 21 Sep 1744


Name:    Benj. Stocks
Gender:    Male
Baptism Date:    21 Sep 1744
Baptism Place:    St Peter,Huddersfield,York,England
Father:    David Stocks
FHL Film Number:    262537, 942 B2M V. 2

Name:    Benjamin Stocks
Event Date:    15 Jul 1804
Event Type:    Burial
Parish:    Huddersfield, St Peter

Abode: Fartown (which confirms the correct person)

Name:    Saml Stocks
Event Date:    13 Sep 1747
Event Type:    Baptism
Parish:    Huddersfield, St Peter
Father's name:    David Stocks
Text:  Sam'l of David Stocks, Fartown

Name:    Saml Stocks
Gender:    Male
Baptism Date:    13 Sep 1747
Baptism Place:    St Peter,Huddersfield,York,England
Father:    David Stocks
FHL Film Number:    262537

Name:    Samuel Stocks
Death Age:    69
Birth Year:    abt 1747
Burial Date:    9 Jan 1816
Abode:  Delves
Parish:    Huddersfield, St Peter, Yorkshire, England

Name:    Jane Stocks
Event Date:    30 Sep 1750
Event Type:    Baptism
Parish:    Huddersfield, St Peter
Father's name:    David Stocks
Text:  Jane of David Stocks, Stone Delver, Fartown

Name:    Jane Stocks
Gender:    Female
Baptism Date:    30 Sep 1750
Baptism Place:    St Peter,Huddersfield,York,England
Death Date:    10 Nov 1751
Father:    David Stocks
FHL Film Number:    262537

Name:    Jane Stocks
Event Date:    10 Nov 1751
Event Type:    Burial
Parish:    Huddersfield, St Peter
Father's name:    David Stocks
Text:  "Jane of David Stocks, Delver, Far" (i.e. Fartown)

Name:    Jane Stocks
Gender:    Female
Baptism Date:    30 Sep 1750
Baptism Place:    St Peter,Huddersfield,York,England
Death Date:    10 Nov 1751
Father:    David Stocks
FHL Film Number:    262537

Name:    David Stocks
Gender:    Male
Baptism Date:    11 Apr 1753
Baptism Place:    St Peter,Huddersfield,York,England
Father:    David Stocks
FHL Film Number:    262537

Text:   "David of David Stocks, Cowcliffe"

Name:    Anne Goodayre
[Anne Stocks]
Gender:    Female
Baptism Date:    7 Jul 1738
Baptism Place:    St Peter,Huddersfield,York,England
Father:    David Stocks
Mother:    Mary Goodayre
FHL Film Number:    262537, 942 B2M V. 2


Name:    Anne Goodayre
Event Date:    7 Jul 1738
Event Type:    Baptism
Parish:    Huddersfield, St Peter
Father's name:    Mary Goodayre
Text reads;  "Anne rep of Mary Goodayre and David Stocks, Fartown"