You don't have oatmeal? Not even in a health food shop? Actually, do you have health food shops?
I suppose you could try with porridge oats, but maybe whizz them in a food processor first.
When I was in Oz, I was sent out by a house mate who was a pretty tidy cook with a shopping list. On it was suet so he could make dumplings. Could I find any? Could I bollocks! I suppose stew and dumplings isn't really favoured in a subtropical climate!
I've never heard of parkin. And if it's northern, I'm guessing it's pure stodge!
Sainsbury's used to do a beer called "Parkin special bitter" though....