R1829.36 A bed roll, also called a Swag Bag by the Aussies, is a bag that contains mattress, bedding and a ground sheet. Literally it is a bed that can be rolled up and would include a ground sheet and cover to protect against hard ground and light rain. Bed Rolls are popular with Campers, Hunters and Off-roaders. Add all your bedding into it and then roll up, when you get there, unroll and sleep.