Eddi recorded the backing vocals using her real name "Sadenia Reader" on this track. She appears thus on quite a few albums from that period, inc Alison Moyet and the Eurythmics.
Eddi described John Foxx as "a very kind and supportive man.. who allowed me free expressive reign in the studio". I think her BV really lifts the song.
Interesting that similar vocals on "Stairway" and "Stepping Softly" are not Eddi, and not credited at all?