I should have added that HA senior almost certainly founded and endowed the Anthony Birrell Cup competition after WW1, probably in memory of his son and/or wife. I have not yet discovered exactly what this was, but definitely for something sporting, possibly an inter-school competition for schools in the local area. Amongst other things I am part-time archivist at Lord Williams's School Thame. I'm there tomorrow and if I find anything more about the competition I'll let you know.
Derek