track

footmark, footprint, footstep, hoofprint, path, print, pug, rut, step, tread

artifact, evidence, leavings, relic, remain(s), remainder, reminder, remnant, residual, residue, sign, spoor, telltale, token, vestige

clue, cue, hint, indication, inkling, intimation, lead, suggestion

scent, shadow, whiff

bridle path

towpath

alley, alleyway, bypath, byroad, bystreet, byway, passageway, walkway

cutoff, shortcut

lane, pass, passage, road, roadway, route, row, run, runway, street, thoroughfare

circle, circuit, loop, orbit

arc, flight path, trajectory

ascent, descent

accompany, chaperone (or chaperon), escort

hunt, search (for), seek

eye, observe, watch

hike, traipse, tramp, tread, walk

ride, run

crisscross