Probably an alteration of wedge.
wodge (plural wodges)
- (chiefly Britain, colloquial) A bulk quantity; usually of small items, particularly money.
- He paid a wodge of dosh for his new motor from the car dealership
- 2012, John Sweeney, ‘At War with Ceausescu’, Literary Review, issue 399:
- Bad food, bad drinks, no decent pubs, no laughter in public, and dodgy money-changers hissing that communism was shit and who then disappeared, leaving us with wodges of worthless notes.