There are 2 Joseph Williams on the Hawarden War Memorial. One is named on the panels and the other is among a group of 4 on the front pillars of the Memorial. (These four seem to have been added at a later date). William, Frederick and Joseph Williams were three brothers killed and named on the memorial. I am assuming that this Joseph is the one on the panels named with his brothers.
The three brothers each have a page on this website. The family story before the war is the same for each of them so follow the link to William Williams’s page to read it.
UK, Soldiers Died in the Great War, 1914-1919 accessible on www.ancestry.co.uk tells us that he was born in Chester, he resided in Hawarden and enlisted there. He was in a Post Office Battalion. His medal card also on ‘Ancestry’ tells us that his first Theatre of War was France and he entered it on the 18th August 1915. It also says that he had another Regimental No. – 3491.
There is an index card for Joseph Williams in Flintshire’s Roll of Honour at The County Record Office in Hawarden. (Card Sandycroft F13) The address given was Moor Lane, Hawarden His regimental details were confirmed. He served for a period of 2 years 3 months 1915 – 1917.
He was Killed in action on the 24th July 1917. The card was signed by E. Williams 1st October 1919. (Could be Emily Williams, Frederick’s Mother. She signed cards for 2 of her 3 sons that day. So far I have not found a card for William).
Joseph is also remembered on the War Memorial, Chester Main Post Office and the Brass Memorial in Chester Sorting Office and on the Sandycroft War Memorial in St. Francis’s Church)