Different people and organisations use different dates to record the end of the War. For some, it’s the end of hostilities on 11 November 1918. For others, it’s the signing of the Treaty of Versailles, which formally ended the state of war between Germany and the Allied Powers, on 28 June 1919. The Commonwealth War Graves Commission records deaths in uniform between 4 August 1914 and 31 August 1921. This latter date is chosen as it is just after the date when the United States concluded a separate peace with Germany (the Treaty of Berlin, 25 August 1921).
I have found one Lostock Hall man who is not on the Hope Terrace Memorial but who fits the CWGC criteria. He is William Osborne Hicklin, who was a submariner killed at sea when his submarine sank on 20 January 1921. He is the brother of Frank Hicklin who was killed in April 1918.