Depth to the magnetic basement beneath Antarctica's Ross Ice Shelf was determined from Werner deconvolution of ROSETTA-Ice airborne magnetic data. This process was constrained by offshore seismic data which was tied to the Ross Ice Shelf with Operation Ice Bridge IceBridge airborne magnetic data. Using a sub-ice shelf bathymetry model, we calculated the thickness of non-magnetic cover sediments above the basement. This dataset contains NetCDF grids, for both Ross Ice Shelf and Ross Embayment extents, of basement elevations and sediment thicknesses, as well as their accompanied upper and lower uncertainties. Also included are profiles of all ROSETTA-Ice flight lines, showing Werner deconvolution solutions and the resulting magnetic basement. Basement solutions before gridding are available in a text file. Code for the creation and processing of all the data here is available at Github, through the following link: https://doi.org/10.5281/zenodo.6499863.