Negative DC corona discharges in atmospheric air have been examined in a 20 mm point-plane gap using a polarisation interferometer and a chromel-alumel thermocouple. A fine thermocouple can be used to give sensible temperature data in a corona, provided that care is taken with respect to insulation and measurement technique, as well as to ranges of gap position and current over which the thermocouple is used. For an open-air corona, radial profiles of neutral density (N) obtained using the interferometer, and of temperature (T) obtained using the thermocouple, do not correlate according to p0=NkT, where p0 is the atmospheric pressure, because of pressure changes produced by the corona wind. Corona wind effects are minimised by containing the discharge gap within a cylindrical insulating chamber, and good p0=NkT correlation of the radial profiles for N and T is then obtained. Several containing arrangements were used to provide further information on the effects of the corona wind. The results reveal that care must be exercised when inferring corona temperatures from interferometric measurements of neutral density.