dray (n.)

late 14c., draggen, "to draw a grapnel along the bottom of a river, lake, etc., in search of something;" late 15c., "to draw away by force, pull haul," from Old Norse draga, or a dialectal variant of Old English dragan "to draw," both from Proto-Germanic *draganan "to draw, pull," perhaps from a PIE *dhregh- "to draw, drag on the ground" (source also of Sanskrit dhrajati "pulls, slides in," Russian drogi "wagon," doroga "way;"  connection to Latin trahere "to draw" is possible but problematic).

Meaning "draw (feet, tails, etc.) along slowly" is from 1580s; intransitive sense of "move heavily or slowly, hang with its weight while moving or being moved" is by 1660s. Meaning "to take a puff" (of a cigarette, etc.) is from 1914. Related: Dragged; dragging. Drag-out "violent fight" is from c. 1859. To drag (one's) feet (1946 in the figurative sense "delay deliberately") supposedly is from logging, from a lazy way to use a two-man saw.

1791, "fee for conveyance by dray," from dray + -age. Later also simply "conveyance by dray."

"man who drives and manages a dray," 1580s, from dray + man (n.).