Raspberries selected. Wash gooseberries, currants and blueberries. Clean the gooseberries and blueberries, halve the gooseberries. Strip currants from the panicles. Put 925 g fruit and jam sugar into a large, high pot and leave to stand for 3-4 hours.
Add the cinnamon sticks, bring to the boil over a high heat while stirring and allow to boil for at least 5 minutes until bubbly. Stir in rum shortly before the end of the cooking time. If necessary, skim and pour hot into prepared, sterilized glasses.
Close the jars and place them on the lid for about 5 minutes. Turn the glasses upside down and let them cool down. Stored in a cool, dark place, the jam will keep for about 2 years.