button with Haberdashers' coat of arms and motto

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Several schools share the coat of arms and motto 'Serve and Obey' of the Worshipful Company of Haberdashers, e.g. Monmouth School and Aske's Boys School.

This button does not look like a school button.
Size 17 mm, brass, b/m "J.R. Gaunt & Son Ltd, London Engd"

Could it be Cadet or OTC?

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Is this the OTC button for this school?

See:

Originally Posted by Alan O

Cross referencing EJ Martin's article of 1938 against the 1939 Army list shows the following missing ones. He stated 10 but in fact it was 13:

1. Bishop Veseys - Warwickshire Regiment badge.
2. Christ College Brecon - South Wales Borderers.
3. Coatham School - Green Howards.
4. Grimsby Municipal College - Lincolnshire regt.
5. Haberdasher Askes - School coat of arms badge. The cadet corps (closed 1930) had been 3rd Cadet Bn RF.
6. Hulme Grammar Manchester. School badge
7. King's College Wimbledon - School badge
8. King's School Rochester - school badge.
9. Lancing College - school badge
10. Morrisons school - school badge.
11. Mount St Mary's College - school cadet corps badge
12. Sherborne School - Dorsetshire regiment badge
13. West Buckland school - Devonshire Regiment.