Aged 7 in 1851
Aged 16 in 1861
Aged 26 in 1871

Lancashire Birth indexes for the years: 1844
TAYLOR    William    TAYLOR    Western Bolton    WB/10/265

TAYLOR, WILLIAM        - 
GRO Reference: 1844  J Quarter in BOLTON UNION 
Volume 21  Page 143

Name:    William Taylor
Baptism Date:    22 Jun 1845
Baptism Place:    Bolton-le-Moors, St Peter, Lancashire, England
Mother:    Ann Taylor
Reference Number:    GB127.L243/1/3/17


Lancashire Birth indexes for the years: 1845
TAYLOR    William    TAYLOR    Eastern Bolton    Bolton    EB/14/97
TAYLOR    William    TAYLOR    Little Bolton    Bolton    LB/12/27
TAYLOR    William    TAYLOR    Western Bolton    Bolton    WB/11/452

William was born 1 or 2 years before the parents married, so possibly not the son of Joseph.

Died before 1871, as Jesse was living with grandparents after then.  Only one record matched:

Lancashire Death indexes for the years: 1879
COLLINS    William    35    Eastern Bolton    EB/59/463

There is only one Maria Barrow birth registered 1842-1846 in Bolton (so Maria was recorded twice in 1861).

BARROW, MARIA        MATHER 
GRO Reference: 1844  M Quarter in BOLTON UNION
Volume 21  Page 122

Lancashire Birth indexes for the years: 1844
BARROW    Maria    MATHER    Little Bolton    LB/9/342

Name:    Maria Barrows
Baptism Date:    19 May 1844
Baptism Place:    Bolton-le-Moors, St Peter, Lancashire, England
Father:    John Barrows
Mother:    Happy Barrows
Reference Number:    GB127.L243/1/3/17
Abode: Little Bolton.  Engineer

Maria died on 21st October 1866 from Phthisis (tuberculosis) aged 22 years.

Deaths Dec 1866   (>99%)
COLLINS  Maria  22  Bolton  8c 251

Lancashire Death indexes for the years: 1866
COLLINS    Maria    22    Eastern Bolton    EB/41/348

COLLINS, WILLIAM        BARROW 
GRO Reference: 1863  D Quarter in BOLTON 
Volume 08C  Page 295

Lancashire Birth indexes for the years: 1863
COLLINS    William    BARROW    Eastern Bolton    EB/49/197

Lancashire Death indexes for the years: 1864
COLLINS    William    0    Western Bolton    WB/32/259

Name:    William Collins
Registration Year:    1864
Registration Quarter:    Apr-May-Jun
Registration District:    Bolton, Lancashire
Volume:    8c
Page:    225

COLLINS, JESSE        BARROW 
GRO Reference: 1864  D Quarter in BOLTON
Volume 08C  Page 312


Lancashire Birth indexes for the years: 1864
COLLINS    Jesse    BARROW    Western Bolton    WB/47/334

Name: Jesse Collins
Birth Date: abt 1865
Date of Registration: Jan-Feb-Mar 1945
Age at Death: 80
Registration district: Horwich, Lancashire
Volume: 3c
Page: 459

Lancashire Death indexes for the years: 1945
COLLINS    Jesse    80    Turton    Bolton    TUR/3A/122

Name:    Jesse Collins
Death Date:    abt 1945
Burial or Cremation Date:    7 Feb 1945
Burial or Cremation Place:    Lancashire, England
URL:    https://www.deceasedonline.com/servlet/GSDOSearch?DetsView=Summary&src=ext&fileid=3930898

COLLINS JESSE: of 74 Lea Gate Lane, Harwood near Bolton died 2 Feb 1945. Administration Llandudno 16 June to Richard Collins retired railway foreman and William Collins boiler fireman.  Effects £1689 1s 11d