He was first found named as the father of the bride in the marriage of Mary Jones and David Puntan in 1869.  Then he appeared next door to his daughter in the 1871 census.  And died between then and 1891 when his wife Sarah was a widow.

In 1871 he was at Wern Fawr Houses, Llanguick, Neath, Glamorganshire, Wales:

First name(s)  Last name  Relationship  Marital status  Sex  Age  Birth year  Occupation   Birth place
Edward   Jones  Head        -  Male    63  1808  -  Carmarthenshire, Wales
Sarah    Jones  Wife        -  Female  64  1807  -  Carmarthenshire, Wales
William  Jones  Son         -  Male    28  1843  -  Carmarthenshire, Wales
Da       Jones  Son         -  Male    18  1853  -  Carmarthenshire, Wales
Sarah    Jones  G-Daughter  -  Female   4  1867  -  Glamorgan, Wales

Ref:
Archive reference  RG10
Piece number       5435
Folio              97
Page               29
Combined:          RG10, piece 5435, folio 97, p. 29
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Now to see what else can be found for the commonest name in Wales!

All his children from the 1871 census were born in Carmarthens.  So, for the first 15 years of marriage they lived in Cardigans and sometime before 1871 moved to Glams.
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In 1851 this might well be himn and his family at Penlan, Llandebie, Llandilofawr, Carmarthenshire, Wales:

First name(s)  Last name  Relationship  Marital status  Sex  Age  Birth year  Occupation  Birth place
Edward   Jones  Head      Married  Male    43  1808  Ag Labourer    Llanarthney, Carmarthens, Wales
Sarah    Jones  Wife      Married  Female  40  1811  Ag Lab's Wife  Llanddarog, Carmarthens, Wales
William  Jones  Son       -        Male    12  1839  -              Llanfihangel, Carmarthens, Wales
Mary     Jones  Daughter  -        Female   9  1842  -              Llanfihangel, Carmarthens, Wales
Michael  Jones  Son       -        Male     5  1846  -              Llandebie, Carmarthens, Wales
David    Jones  Son       -        Male     2  1849  -              Llandebie, Carmarthens, Wales

Ref:
Archive reference  HO107
Piece number       2471
Folio              606
Page               11
Combined:          HO107, piece 2471, folio 606, p. 11
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There are 10 Edward Jones deaths in Glamorganshire; either of these could be his, though the eventual finding of him in the 1881 census meant that the second, in the same District, was his death index:

First name(s)  EDWARD
Last name      JONES
Gender         Male
Birth year     1808
Age            66
Death quarter  2
Death year     1874
District       Neath
County         Glamorganshire
Volume         11A
Page           391
Country        Wales
Record set     England & Wales Deaths 1837-2007

First name(s)  EDWARD
Last name      JONES
Gender         Male
Birth year     1807
Age            81
Death quarter  1
Death year     1888
District       Pontardawe
County         Glamorganshire
Volume         11A
Page           460
Country        Wales
Record set     England & Wales Deaths 1837-2007
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But, with the revised birthdate he was found on the 1881 census and next door was his daughter and son-in-law, Mary and David Pountan (aka Puntan), so this has to be the right Edward and Sarah Jones at 12, Brick Row, Llanguick, Pontardawe, Glamorganshire, Wales:

First name(s)  Last name  Relationship  Marital status  Sex  Age  Birth year  Occupation  Birth place
Edward   Jones  Head      Married  Male    73  1808  Fireman        Carmarthen, Carmarthenshire, Wales
Sarah    Jones  Wife      Married  Female  71  1810  Firemans Wife  Carmarthen, Carmarthenshire, Wales
David    Jones  Son       Single   Male    27  1854  Fitter (Eng)   Carmarthen, Carmarthenshire, Wales
Sarah A  Jones  Daughter  Single   Female  13  1868  Housemaid      Glamorganshire, Wales

Ref:
Archive reference  RG11
Piece number       5347
Folio              60
Page                4
Combined:          RG11, piece 5347, folio 60, p. 4
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Baptism still not found on FindMyPast.  Nor on FamilySearch.
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No marriage record fou nd on FindMyPast.
Nor on FamilySearch.