Green’s Dictionary of Slang

trapes v.

also traipse
[? synon. SE trape, but chronology is dubious (one citation 1440, then none until 1706, after coinage of traipse). ? OFr. trapasser, trepasser, to pass over or beyond]

[late 16C+] to trudge about, to walk in a slovenly, aimless manner (with the image or actuality of one’s clothes dragging on the ground); thus trapesing n. and adj.