Adam was born on June 25th, 1870 in Blackburn and his baptism took place there on October 2nd, 1870 conducted by Vicar E Birch.12
Birth Notes
Age 9 months on 1871 census
Births Jun 1870 (>99%) Clarkson Adam Blackburn 8e 399
Lancashire Birth indexes for the years: 1870 CLARKSON Adam COLLINS Blackburn B/142/1
Baptisms: 2 Oct 1870 St Mary the Virgin, Blackburn, Lancashire, England Adam Clarkson - Child of William Clarkson & Sarah Born: 25 Jun 1870 Abode: Brown St. Occupation: Tailor Baptised by: E. Birch Vicar Register: Baptisms 1864 - 1873, Page 556, Entry 5588 Source: LDS Film 1278805
Jane was a widow in 1901, but Alice was born in 1898. Therefore Adam must have died between 1891 and 1901.
No death record can be found (using Ancestry or FreeBMD) for Adam, but this for Albert seems a good match. Perhaps a transcription error when death reported.
Name: Albert Clarkson Estimated Birth Year: abt 1869 Date of Registration: Jul-Aug-Sep 1898 Age at Death: 29 Registration district: Blackburn Inferred County: Lancashire Volume: 8e Page: 316
Lancashire Death indexes for the years: 1898 CLARKSON Albert 29 Witton Blackburn W/26/86
Adam and Jane were married in a religious ceremony in September 1890 in Blackburn.4
Marriage/Union Notes
1911 census records marriage lasting as 21 years, which is impossible. However, it is likely she was married 21 years ago (but widowed at least 10 years). There were 3 children, but one died.
Marriages Sep 1890 (>99%) Clarkson Adam Blackburn 8e 771 Eccles Jane Ellen Blackburn 8e 771
They had two daughters named Janie and Alice. There are no more children.