I have found JWG, wife Alice, daughters Annie and Alice in 1939 in Southend, keeping a grocer's shop. I am sure this matches the family in 1911.
His date of birth given as 16 June 1871, Alice 30 Nov 1871, Annie 26 Mar 1898, Alice 7 Aug 1902.
I think it likely that JWG died in Southend in Q1 1946 aged 74, and (possibly) Alice in Q3 1951 aged 80.
I realise this doesn't match what you already have.

JWG doesn't appear in Kirton or Frampton in the 1933 Kelly's directory.
I assume this marriage is right -
25 May 1897 at Wigtoft
John William GREEN (son of Edward) to Alice SELLERS (dau of Newton)