I found one mention of a Sjt. [sic] A. Bloodsworth in the 6 August, 1918, Supplement to the London Gazette (page 9234) (copied in the Edinburgh Gazette) under the heading:
His Majesty the KING has been graciously pleased to approve of the award of the Military Medal for bravery in the Field to the undermentioned Non-commissioned Officers and Men: ...
16802 Sjt A. Bloodsworth, Leic. R. (Leicester).
The search was performed for "Bloodsworth" from Jan 1, 1880 to Dec. 31, 1930 with no other results.
A second search under "Bloodworth" from Jan 1, 1914, to Dec. 31, 1920, turned up two additional entries for an A. Bloodworth (and others):
- Saturday, 22 February, 1919 (pages 2689 and 2702)
His Majesty the KING has been graciously pleased to approve of the award of the Meritorious Service Medal to the undermentioned Warrant Officers, Non-commissioned Officers and Men in recognition of valuable services rendered in connection with the war: ...
Indian Army ...
S./Sjt Blodoworth, A. J., Ind. Misc. List.
From Wikipedia for the Meritorious Service Medal:
The Meritorious Service Medal was instituted on 19 December 1845 for the British Army, to recognise meritorious service by non-commissioned officers. Recipients were also granted an annuity, the amount of which was based on rank. ...
To be awarded the MSM, an individual must have "good, faithful, valuable and meritorious service, with conduct judged to be irreproachable throughout". Other ranks must have at least twenty years service, must already hold Long Service and Good Conduct Medals, and for the Army and the Royal Air Force must have reached the equivalent rank of sergeant.
- December 31, 1920
**BALANCES DUE TO OFFICERS AND SOLDIERS DISCHARGED.
List XIV. -- Effects 1919-1920. ...
Bloodworth, A. J., Sjt. R.E. ... 114/9/6 [£/s./d.]
The second search termed up several junior officers named Bloodworth, but none with first initial A. or first name Archie. Likewise, none of te VC winners in either the Second Boer War or First World War were named either Bloodsworth or Bloodworth.
There were no results found regarding military service for either "Bloodsworth" or "Bloodworth*" covering the period around the Second Boer War.
The Royal Leicestershire Regiment lists both Bloodworth, Arthur E. - MM and Bloodsworth, A - MM under Army Number 16802 and serving in the First World War; so apparently even they are unsure of the correct spelling.
During the Second Boer War and First World War the Canadian Expeditionary Force was part of the British Army, and its awards and other distinctions were printed in the Gazette.