The edited, compiled, or translated work of an author is normally listed with the author's name appearing first and the name(s) of the editor(s), compiler(s), or translator(s) appearing after the titled, preceded by edited by or ed., compiled by or comp., or translated by or trans.
Please note that Chicago now omits the place of publication for books published after 1900 (see the Manual, 14.30). For books published before 1900, they recommend using the place of publication instead of the publisher itself, as it is of greater interest (see the Manual, 14.31).
Example 1 – Author and Editor
N: 1. Elizabeth Bishop, One Art: Letters, ed. Robert Giroux (Farrar, 1994), 514.
B: Bishop, Elizabeth. One Art: Letters. Edited by Robert Giroux. Farrar, 1994.