On Ancestry UK there the following military records held for Hatherners

Soldiers who died in in Great War 1 (13 records)

Soldiers who served 1914- 1920 and their family members (63)

Pension records 1914 -1920 (23)

Canada, British Regimental 1756 -1900 (4)

Royal Aero Club Aviators 1910 - 1920 (1)

Royal Navy Registers of Seamen (1)

Women's Army Auxiliary Corps 1917 -1920 (1)

Chelsea Pensioners 1715 - 1925 (4)

You can see the search results here.

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Note that Ancestry also says there are 4 records for UK, Royal Hospital Chelsea Pensioner Admissions and Discharges, 1715-1925 but link to them is denied.