Bedroll Single 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, Offroaders and the homeless (No kidding: check out how many homeless folk use their ingenuity to create there own comfortable bed roll which they need to move around)