halter (n.)
Old English hælftre "rope for leading a horse," from West Germanic *halftra- "that by which something is held" (cognates: Old Saxon haliftra "halter," Old High German halftra, Middle Dutch halfter; see helve). In women's clothing sense, originally "strap attached to the top of a backless bodice and looped around the neck," 1935, later extended to the tops themselves.