Sgt J. Corrigan
This is the only information given about this soldier, whose name was on the original Memorial Plaque in St Werburgh's Church. There are many dead soldiers with that surname who served in the British Army during WW1 and they are scattered across different regiments. None has any obvious ties to Chester.
The only parishioner with that surname was Mary Corrigan, who was recorded working as a servant at the Grosvenor Hotel in Chester during the 1911 census. She was from County Wexford and married Edward Walsh at St Werburgh's in January 1914. Her father's name is stated on the register as John Corrigan. It is possible that Mary Corrigan may have had a brother who died in service during the Great War and whom she wished to have remembered.
J. Corrigan was confirmed at St Werburgh's in 1876. This may be some relation but is unlikely to be the above Sgt J. Corrigan.