Born about 1758 or earlier
Marriage of "this parish" (i.e. of Bolton) in 1779
Death in L.B., in 1830, aged 80 is possible

There are also a conflicting records, so there are other William Mathers of Bolton (or Deane) born around this time:

WILLIAM MATHER
Birth:  About 1762   Of Deane, , Lancashire, England
Marriages:
  Spouse:  Mary Mather 

WILLIAM MATHER
Christening:  20 FEB 1760   Deane, , Lancashire, England
Parents:
  Father:  William Mather
  Mother:  Mrs William Mather 

WILLIAM MATHER
Event(s):
Birth:  About 1754   Deane, , Lancashire, England
Burial:  23 OCT 1759    (so cant be him)
Parents:
  Father:  RALPH MATHER
  Mother:  MRS. HANNAH MATHER 
This is probably the William baptised 28 Jun 1752 at Deane, son or Ralph Mather.




 

Name:    William Mather
[Willaim Mather]
Birth Year:    abt 1750
Death Age:    80
Burial Date:    16 Apr 1830
Burial Parish:    Bolton-le-Moors, Lancashire, England
Register Type:    Bishop's Transcript
Reference Number:    Drm/2/23a

Abode: Little Bolton

Born about 1756 if burial is correct.

Was married in 1779, so probably born before 1761 (if aged 18 or older when married).

Betty Holte from Harwood, bap. 1752 is too early, as would be 10y younger than William, and too old to have son Holt Mather.

Name:    Betty Hoult
Gender:    Female
Baptism Date:    16 May 1759
Baptism Place:    Deane By Bolton,Lancashire,England
Father:    Peter Hoult
FHL Film Number:    844816
Abode: Great Bolton

This burial is probably correct, as Betty is thought to be younger, closer age to William, and of child bearing age (maybe) when Holt Mather born in 1804.
Name:    Betty Mather
Birth Year:    abt 1756
Death Age:    81
Burial Date:    10 May 1837
Burial Parish:    Turton, Lancashire, England
Register Type:    Bishop's Transcript
Reference Number:    Drm/2/40

Not possibe (as Betty was alive) and is a Turton Burial:
25 July 1774: Betty Mather of Turton Widow

Betty Mather (nee Edge) is another, alive aged 82 in 1841 and died in 1842.

There is also a Betty Mather died Western Bolton in 1840, aged 71, but this Betty is about 10y too yourg.

Probably son of William and Betty, but no baptism recordds for their family (except for Alice in 1792).  However, family lived around Kay Street Area (next to Waterloo), Little Bolton.

Born abt 1774 on son John's Christening record
Age 63 on 1841 census, Lancashire (living in L.B.)
Age 73 on 1851 census, Bolton
Age 83 on 1861 census, Tong
Age 86 in 1884 when died

Name:    Joseph Mather
Event Type:    Baptism
Baptism Date:    21 Jun 1778
Baptism Place:    Astley, St Stephen, Lancashire, England
Father:    William Mather
Mother:    Mather
Reference Number:    GB127.L50/1/1/1
Abode: Tyldesley

Still alibe in 1861

Mary described as wife (not widow) of Joseph when she died in Oct 1856, so Joseph must have survived her.

Lancashire Death indexes for the years: 1864
MATHER    Joseph    86    Little Bolton    LB/30/375

Deaths Mar 1864   (>99%)
MATHER     Joseph          Bolton     8c, 238

Name:    Joseph Mather
Death Date:    Mar 1864
Cemetery:    Tonge Cemetery
Burial or Cremation Place:    Bolton, Metropolitan Borough of Bolton, Greater Manchester, England
Has Bio?:    N


Name:    Joseph Mather
Register Type:    Burial
Death Date:    abt 1864
Burial or Cremation Date:    1 Mar 1864
Burial or Cremation Place:    Lancashire, England
URL:    https://www.deceasedonline.com...

Born before 1795

John had Joseph and James as witness to his 1810 marriage at Leigh.  They are likely to be brothers.

The Marriage Banns confirm that Alice is from the Parish of St Peter, Bolton and already a Mather before she married Samuel. 

Born 26 Mar 1792 according to christening records
Born about 1791 (age 50) according to 1841 census.
Born about 1791 (age 60), Turton, according to 1851 census.
Born about 1789 (age 72), Turton, according to 1861 census.
Born about 1789 (age 82), Turton, according to 1871 census.
Born about 1788 (age 91) in 1879, headstone and Death Cert.

It's therefore reasonable to assume Alice was born between 1787 and 1792.  One record from Bolton or Turton is at Walmsley.  See image for further details.

Baptisms: 14 Jul 1792 Walmsley Meeting House, Bolton le Moors, Lancashire, England
Alice Mather - Child of Willm. Mather & Betty (formerly Holt)
    Born: 26 Mar 1792
    Abode: Goose Cote Hill, Turton, Bolton, Lancaster
    Notes: [Congregation: Walmsley Meeting]
    Baptised by: Tho Davies
    Register: Baptisms 1783-1793, Page 19, Entry 127
    Source: LDS Film 560904
Note: Goose Colt Hill was the location of the Turton workhouse.

Another possibility is Alice, D of John and Nancy of G.B., bap 1786 or Alice from Westhaughton born 1785

By 1861 and 1871, Alice was a widow and living with her daughter, Happy and family.  She died after 1871 census and before 1881, probably while she was living with her daughter, Happy Shuttleworth.

Lancashire Death indexes for the years: 1879
MATHER Alice 91 Sharples Bolton SH/9/213

For the last 20+ years of her life she recorded her birth as about 3 years older (i.e. 1789, not 26-Mar-1792), so its not surprising that this age is also 3 or 4 years out.

Alice Mather died in Bolton on 16th November 1879 at 5 Nell Street, Bolton (she was living here with Phineas, Happy and Jesse Collins) and her certified cause of death was Natural Decay.  Her death was registered by her son Samuel Mather who was in attendance at the death and who also lived in Nell Street (probably No. 9)

She is buried with her son George and his family. The headstone records her death as Nov 16th 1879.

Name: Alice Mather
Estimated birth year: abt 1788
Year of Registration: 1879
Quarter of Registration: Oct-Nov-Dec
Age at Death: 91
District: Bolton
County: Greater Manchester, Lancashire
Volume: 8c
Page: 252

WM. MATHER
Event(s):
Birth: 
Christening:  01 AUG 1798   Westhoughton, Lancashire, England
Parents:
  Father:  WM. MATHER
  Mother:  BETTY 

Baptism: 1 Aug 1798 St Bartholomew, Westhoughton, Lancashire, England
William Mather - Son of William Mather & Betty
    Register: Baptisms 1793 - 1812, Page 37
    Source: LDS Film 2113219

William son of William and Betty Mather

Burial: 10 May 1799 St Bartholomew, Westhoughton, Lancashire, England
William Mather - Son of William Mather & Betty
    Register: Burials 1793 - 1812, Page 22
    Source: LDS Film 2113219

William son of William and Betty Mather

Aged 30 to 34 in 1841
Aged 42 in 1851, Born Turton

From 3-Oct-1794 to Oct-1815 the Walmsley Meeting House records are missing.  However, with "Holt" as a given name it is reasonable to assume this is a son of William Mather and Betty Holt, probably baptised at Walmsley.  However, Betty would be almost 50 when Holt was born.

Still alive in Turton in 1851
Alice a Widow at Hindley in 1861

Possibly Holt was Thomas, known as Holt.  There is only one Mather death between 1851 and 1861 of correct age.

Lancashire Death indexes for the years: 1861
MATHER    Thomas    52    1861    Turton    Bolton    TUR/6/151