WordNet sense 1 (evidence pointing to a possible solution):

lead, track, lead, lead

WordNet sense 2 (move, proceed, or walk draggingly or slowly):

shack

WordNet sense 3 (to lag or linger behind):

drag, drop behind, get behind, hang back

WordNet sense 4 (go after with the intent to catch):

chase, dog, tag, tail, go after, give chase, chase after

WordNet sense 5 (drag loosely along a surface; allow to sweep the ground):

train