A sausage rolling machine utilizes gravity to reduce costs when rolling a food dough casing around a sausage. A first conveyor rotates in a first direction so as to move a food dough casing toward an edge of the first conveyor. A second conveyor is disposed below the first conveyor. A sausage dispenser dispenses a sausage. A hinged unit is disposed below the sausage dispenser and includes a hinge and a tray portion extending from the hinge. The hinged unit receives the food dough casing that is falling off the edge of the first conveyor when the hinged unit is at rest, initiates wrapping of the food dough casing around the sausage, and rotates the tray portion about the hinge, causing the sausage to roll onto the second conveyor while also causing the sausage to be partially wrapped by the food dough casing.