Hi WWL, as I see from earlier posts ie the marriage and the death of your father, he had the middle initial "W", then this looks like a possible birth and marriage for William and his parents:-
William W Lancaster Sep qtr 1914 Wolstanton v 6b page 146 Mothers Maiden Name Kitching
Marriage William Lancaster to Mary Kitching Dec qtr 1913 Wolstanton v 6b page 249
As an area of Staffordshire, Wolstanton covered all the main districts associated with the pottery industry.
If you Google Freebmd, you will obtain the site that I and many others use to locate Births, Marriages and Deaths.
All the best in your quest, and I can only hope the above is correct!!
On checking for further births there was a Mary L b 1916 a Walter b 1919 and an Annie b 1920, but in 1919 there was also a marriage of a Lancaster to a Kitching in Wolstanton , so the last 2 above births could be theres.
Keyboard86
Bill SNAP!!