No idea if this is right but ..
Marriages Jun 1929 (>99%)
STEPHENSON Catherine Wilson W. Derby 8b 761
Wilson Albert Stephenson W.Derby 8b 761
Births Mar 1935
Wilson P. (Female) Stephenson Liverpool S. 8b 114
Births Jun 1936
Wilson John Stephenson Liverpool S. 8b 130
Births Dec 1937
Wilson Jean Stephenson Liverpool N. 8b 621
Albert born 1897, (is that the right year for your man?) John & Jean are all in the 1939 register.
Seems Catherine & P. are still redacted
It is possible the eldest daughter is still alive so I haven’t put her full name.
Birth announcement
https://www.findmypast.co.uk/image-share/8754ec88-603f-4c21-ac1b-9ad883b00daeDo you know where John died?
In Lancashire between 1950 & 1960 are three the right age
Deaths Sep 1953
WILSON John 17 Wigan 10f 583
Deaths Jun 1958
WILSON John 21 Manchester 10e 40
Deaths Jun 1960
WILSON John 23 Crosby 10c 65
Small mention of circumstances of the 1958 in newspaper but I cannot, so far, see a notice identifying parents.
Still looking for the others