tramp

sense 1: travel on on foot, esp. on a walking expedition; "We went tramping about the state of Colorado"
tramp

sense 2: walk heavily and firmly, as when weary, or through mud; "Donkeys that plodded wearily in a circle around a gin" D.H. Lawrence
slog footslog plod trudge pad tramp

sense 3: cross on foot; "We had to tramp the creeks"
tramp

sense 4: move about aimlessly or without any destination, often in search of food or employment; "The gypsies roamed the woods"; "roving vagabonds"; "the wandering Jew"; "The cattle roam across the prairie"; "the laborers drift from one town to the next"
wander swan stray tramp roam cast ramble rove range drift vagabond