Mash the potatoes together with the butter, salt, pepper and origanum.
Mix in one egg into the potato mixture.
Scoop out 1 tablespoon of potato mixture and flatten on your hand, place 1 cube of cheddar cheese in the centre, wrap the potato mixture around the cheese and shape into a ball.
Prepare 2 separate bowls: one containing two beaten eggs and one containing breadcrumbs. Coat the potato ball in egg, and then breadcrumbs.
In a medium pan heat the vegetable oil.
Fry the potato balls in small batches for about 2-3 minutes until golden brown.
Transfer to a paper towel to drain the excess oil.
Serve warm.