William Simpson Taylor’s son William was born in 1895 rather than 1897.
Ada Taylor, mother’s maiden name Newall, Jun qtr 1894 Warrington
William Taylor, mother’s maiden name Newall, Sep qtr 1895 Warrington <<<
Arthur Taylor, mother’s maiden name Newall, Jun qtr 1898 Warrington
These appear to be the baptism of the above children (Lanc OPC)
27 Sep 1894 St Paul, Warrington, Lancashire, England
Ada Taylor parents William Taylor occ Slater & Alice
Born: 15 Aug 1894 Abode: Dallam Lane
28 Nov 1895 St Paul, Warrington, Lancashire, England
William Taylor parents
William Taylor occ
Slater &
Alice Born: 11 Aug 1895 Abode: 25
Dallam Lane 5 May 1898 St Paul, Warrington, Lancashire, England
Arthur Taylor parents William Taylor occ Slater & Alice
Born: 7 Mar 1898 Abode: 20 Dallam Lane
Couldn't find anything for dau Florence from 1911c

edit - possible death of father William Simpson Taylor from familysearch
England, Cheshire Parish Registers, 1538-2000William Simpson Taylor age 67
burial 17 Jun 1938 St Anne, Warrington, Lancashire