Where were the travelers after the goblin ADVENTURE?

They went from the Shire to RivenDELL, then across the Misty Mountains at High Pass, traveled under the mountains, then to the Eagle's Pyre. Next they went to the Carrock, and then to Beorn's dwelling. They rode to the edge of Mirkwood, and then traveled for a ways on the path. They were capture by the Wood-elves, but succeeded in floating on barrels down the River Running to Lake-Town. From Lake-town their final destination was Erebor, the Lonely Mountain.