The data are 3He exposure ages from lateral moraine bands on Mount Waesche, a volcanic nunatak in Marie Byrd Land, West Antarctica. The proximal part of the moraine is up to 45 meters above the present ice level was deposited approximately 10,000 years ago, well after the glacial maximum in the Ross Embayment. The upper distal part of the moraine may record multiple earlier ice advances. The data are all generated by crushing and melting mineral separates (mostly olivine) in vacuo, and measurements with a noble gas mass spectrometer at Woods Hole Oceanographic Institution. Full details can be found in Ackert et al. (Science, 1999, vol. 286, p.276-280).