The Sigma(1385) resonance, or Sigma*, is well known as part of the standard baryon decuplet with spin J =3/2. Measurements of the reaction gamma p -> K+Sigma*(0) are difficult to extract due to overlap with the nearby Lambda (1405) resonance. However, the reaction gamma n -> K+Sigma*(-) has no overlap with the Lambda (1405) due to its charge. Here we report the first measurement of cross sections and beam asymmetries for photoproduction of the Sigma*(-) from a deuteron target. The cross sections at forward angles range from 0.4 to 1.2 mu b, with a broad maximum near E-gamma similar or equal to 1.8 GeV. The beam asymmetries are negative, in contrast with positive values for the gamma n -> K+Sigma(-) reaction.