Aged 40 in 1841, (Bolton)
Aged 50 in 1851, born Bolton
Aged 59 in 1861, born Bolton
Aged 69 in 1871, born Bolton
Birth must be about 1801 for census ages to match

Name:    James Mather
Gender:    Male
Event Type:    Baptism
Birth Date:    4 May 1801
Baptism Date:    14 Jun 1801
Baptism Place:    Bolton, Lancashire, England
Denomination:    Independent
Father:    John Mather
Mother:    Betty Mather

Deaths Jun 1871   (>99%)
Mather     James     69     Bolton     8c, 215

An order dated Nov 1826 shows Alice was from Chorley.

Headstone appears to show Alice aged 66 (but difficult ro read)

Died before 1871 as James was a widow

Aged 12 in 1841, born Bolton
Aged 22 in 1851, born Bolton

Hannah may have been the bastard child refered to in the 1826 order (Nov 1826) on James Mather, so born in Chorley, not Bolton. However, the age is also incorrect

Elizabeth Mathers
Event(s):
Birth:  1833   Of, Bolton Le Moors, Lancashire, England
Christening: 
Death:  21 DEC 1896   
Parents:
  Father:  James Mathers
  Mother:  Alice Mathers 

Baptisms: 5 Jul 1859 Fletcher Street Wesleyan Methodist Chapel, Bolton, Lancashire, England
Elizabeth Mather - Daughter of James Mather & Alice
    Born: 24 Sep 1835
    Abode: Commission St. Great Bolton
    Baptised by: Henry H. Chettle
    Register: Baptisms 1844 - 1860, Page 94, Entry 358
    Source: LDS Film 1538359

It seems strange Elizabeth baptized (aged 24).  However, the family are confirmed as living at 1 Commission Street, Bolton in 1851 and 1861 and 1871.

Elizabeth Mathers
Event(s):
Birth:  1833   Of, Bolton Le Moors, Lancashire, England
Death:  21 DEC 1896   
Parents:
  Father:  James Mathers
  Mother:  Alice Mathers 


This must be another:
Mrs. Elizabeth Mathers
Event(s):
Birth:  09 MAR 1833   Little Lever Near, Radcliffe, Lancashire, England
Death:  22 JAN 1899   
Marriages:
  Spouse:  Joseph Mathers 

Baptisms: 5 Dec 1854 Fletcher Street Wesleyan Methodist Chapel, Bolton, Lancashire, England
Mary Mather - Daughter of James Mather & Alice
    Born: 24 Nov 1839
    Abode: Commission Street
    Baptised by: Saml. Wilkinson
    Register: Baptisms 1844 - 1860, Page 58, Entry 214
    Source: LDS Film 1538359

MATHER, MARY        HARTLEY 
GRO Reference: 1839  J Quarter in BOLTON UNION
Volume 21  Page 119

There are two births registered (one HEARTLEY on BMD index)
Lancashire Birth indexes for the years: 1839
MATHER    Mary    HARTLEY    Western Bolton    WB/3/288
MATHER    Mary    HARTLEY    Western Bolton    WB/3/324

The only Mary Mathers born in 1839 had Mothers of maiden name SMITH, DEARDEN, HARTLEY and RYDER.

Mary Mather
Event(s):
Birth:  24 NOV 1839   
Christening:  05 DEC 1854   Bolton Le Moors, Lancashire, England
Death:  30 AUG 1896   
Burial: 
Parents:
  Father:  James Mather
  Mother:  Alice Mather 

NOTE: Birth date cannot be corect, as birth was registered Q2 (i.e. before June) 1839

Lancashire Birth indexes for the years: 1841
MATHER    Alice    HARTLEY    Western Bolton    WB/6/251

MATHER, ALICE        HARTLEY 
GRO Reference: 1841  J Quarter in BOLTON UNION 
Volume 21  Page 138

Lancashire Death indexes for the years: 1843
MATHER    Alice    1    Western Bolton    WB/6/242

Lancashire Birth indexes for the years: 1844
MATHER    Emma    HARTLEY    Western Bolton    WB/11/213

MATHER, EMMA        HARTLEY 
GRO Reference: 1844  D Quarter in BOLTON UNION 
Volume 21  Page 136

Lancashire Death indexes for the years: 1846
MATHER    Emma    1    Western Bolton    WB/10/17


Burial: 15 Feb 1846 Holy Trinity, Bolton, Lancashire, England
Emma Mather - Daughter of James Mather
Age: 1 year & 3 months
Abode: Great Bolton (Commission St.)
Notes: (Ex. P.)
Buried by: Wm. Wheeler Curate
Register: Burials 1843 - 1856, Page 51, Entry 404
Source: LDS Film 1966136

MATHER, WRIGHT        HARTLEY 
GRO Reference: 1846  D Quarter in BOLTON UNION 
Volume 21  Page 136

Lancashire Birth indexes for the years: 1846
MATHER    Wright    HARTLEY    Western Bolton    WB/15/2

Lancashire Death indexes for the years: 1868
MATHER    Wright    21    Western Bolton    WB/37/178

IGI Family Group Record
Husband :  James Mathers
Wife :  Alice Mathers
Children:
1.   Elizabeth Mathers
Birth:  1833  Of, Bolton Le Moors, Lancashire, England
Death:  21 DEC 1896  
2.   Mary Mathers
Birth:  1839  Of, Bolton Le Moors, Lancashire, England
Death:  30 AUG 1896  
3.   James Mathers
Birth:  1847  Of, Bolton Le Moors, Lancashire, England
Death:  12 APR 1868

No.3 Appears to be an error, as it was Wright Mather who was living with the family on the census records, and died in 1868, aged only 21:

Deaths Jun 1868   (>99%)
MATHER  Wright  21  Bolton  8c 217 

See Headstone