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Thank you to all including Catherine and Reggie who helped in my search.
The only info I have regarding Nathaniel's birth in1745 I got from Marjorie and Doug Williams family history . and I am sorry to say that Marjorie who was very kind and helpful died about 2 years ago.,but the family tree info. is still on Google I think.
I tried LDS but wasn't successful. I can't seem to find my way around there since it was "updated".
Thank you Reggie for the possible death of NW.

Nathaniel Whewell, "England Marriages, 1538–1973 "

Name: Nathaniel Whewell
Spouse's Name: Jane Duckworth
Event Date: 1776
Event Place: St. Mary, Blackburn, Lancashire, England
Indexing Project (Batch) Number: M00708-4
System Origin: England-VR
GS Film number: 1278806
Reference ID: 2:3P62CCL

Name: Jams. Whewell
Gender: Male
Christening Date: 08 Dec 1771
Christening Place: CHURCH,LANCASHIRE,ENGLAND
Father's Name: Nathaniel Whewell
Indexing Project (Batch) Number: P01216-2
System Origin: England-ODM
GS Film number: 0093695-0093702, 924239

Name: Peggy Whewell
Gender: Female
Christening Date: 24 Mar 1780
Christening Place: CHURCH,LANCASHIRE,ENGLAND
Father's Name: Nathaniel Whewell
Indexing Project (Batch) Number: P01216-2
System Origin: England-ODM
GS Film number: 0093695-0093702, 924239

Name: Phebe Whewell
Gender: Female
Christening Date: 17 Jan 1779
Christening Place: CHURCH,LANCASHIRE,ENGLAND
Father's Name: Nathaniel Whewell
Indexing Project (Batch) Number: P01216-2
System Origin: England-ODM
GS Film number: 0093695-0093702, 924239

Name: Ellen Whewell
Gender: Female
Christening Date: 11 Jul 1776
Christening Place: CHURCH,LANCASHIRE,ENGLAND
Father's Name: Nathaniel Whewell
Indexing Project (Batch) Number: P01216-2
System Origin: England-ODM
GS Film number: 0093695-0093702, 924239

Name: Betty Whewell
Gender: Female
Christening Date: 20 Aug 1774
Christening Place: CHURCH,LANCASHIRE,ENGLAND
Father's Name: Nathaniel Whewell
Indexing Project (Batch) Number: P01216-2
System Origin: England-ODM
GS Film number: 0093695-0093702, 924239

Name: Jno. Whewell
Gender: Male
Christening Date: 10 Mar 1782
Christening Place: CHURCH,LANCASHIRE,ENGLAND
Father's Name: Nathaniel Whewell
Indexing Project (Batch) Number: P01216-2
System Origin: England-ODM
GS Film number: 0093695-0093702, 924239

Name: Alice Whewell
Gender: Female
Christening Date: 10 Jul 1785
Christening Place: CHURCH,LANCASHIRE,ENGLAND
Death Date: 06 Jun 1787
Father's Name: Nathaniel Whewell
Mother's Name: Jane
Indexing Project (Batch) Number: P01216-2
System Origin: England-ODM
GS Film number: 0093695-0093702, 924239

His place of marriage is not necessarily indicative of his birthplace.

Ditto his place of abode at the time of the marriage

Do you have anything to support your estimate of his birth year?

Is this his burial?

Burial: 24 Jan 1802 St James, Church Kirk, Lancashire, England
Nathl. Whewell -
Register: Burials 1784 - 1808, Page 18, Entry 37
Source: LDS Film 1470822

Banns: St Mary the Virgin, Blackburn, Lancashire, England
Nathaniel Whewell - Lower Darwen
Elizabeth Ryley - Oswaldtwisle in the Chapelry of Church
Banns Read: 15 Oct 1769, 2nd: 22 Oct 1769, 3rd: 29 Oct 1769
Register: Banns of Marriage 1769 - 1774, Page 10, Entry 59
Source: LDS Film 1278806


.....his marriage record states he is from the parish of Lower Darwen.


EDIT:-

Other marriage record doesn't give any clues either:-

Banns: St Mary the Virgin, Blackburn, Lancashire, England
Nathaniel Whewell - Oswaldtwistle in the Chapelry of Church
Jane Duckwoth - Lower Darwen in the parish of Blackburn
Banns Read: 20 Oct 1776, 2nd: 27 Oct 1776, 3rd: 3 Nov 1776
Register: Banns 1774 - 1778, Page 70, Entry 145
Source: LDS Film 1278806


Marriage: 4 Nov 1776 St Mary the Virgin, Blackburn, Lancashire, England
Nathaniel Whewell - (X), weaver, the Chapelry of Church Kirk
Jane Duckwoth - (X), spinster, the parish of Blackburn
Witness: John Nevill, Sen'r; John Nevill, Jun'r
Married by Banns by: J. White.
Register: Marriages 1775 - 1778, Page 80, Entry 256
Source: Film 1278806

Parents of Nathaniel Whewell b about 1745 I cannot find Nathaniel's parents.I can't find anyone before 1745 . I've no info re. his parents and wonder if any one can suggest anything.
First wife was Elizabeth Riley m.1769 at St. James Church kirk( from whom we descend) and later to .Jane Duckworth at St Mary the Virgin, Blackburn 1776( the same year his first wife died.)
Nathaniel and Elizabeth had a son James (C1771) wife Grace (Bouker?)
His son,James had sons John1796, Nathaniel,James, William and daughters Anne,Ellen,Grace all born Oswaldtwistle ,Lancashire.(john's wife was Dorothy Clegg)
John (1796) was father to James (!837) wife Catherine GRUNSHAW
James (1837) was father to John (1865) -my grandfather (wife Elizabeth Townley)
John (1865) was father to William (1912)-my father (wife Elizabeth Davidson TUke)
Whewell, Grunshaw and Tuke are all a bit peculiar and spellings vary but any help would be appreciated. Thanks