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There is a passenger list mention of him.
Sailed to Australia on the SS Berrima on 22nd November 1928.
Edwin Prestoe Tarrant (29) of Rose Cottage, Red Hill, North Havant, Hants - Brickworks Manager
Florence Tarrant (29) wife
U V Tarrant (5)
Daughter might still be alive.
Don't know whether this is the daughter here:-
https://www.thegazette.co.uk/London/issue/34740/page/7882/data.pdfName is in the top left block of names
above Export Credit Guarantee Department.
I've managed to see the previous page and her name comes under the heading Air Ministry.