Strain tomography is a novel approach to the analysis of residual strain fields that involves deconvolution of unknown distributions of residual elastic strains from redundant sets of data collected from gauge volumes representing sections through the region of interest. The approach has previously been used in combination with high energy, fixed small angle synchrotron diffraction measurements [1]. In this study it is proposed to use this novel principle in conjunction with the ENGIN-X capability for Bragg edge neutron transmission measurements to demonstrate a novel approach to elastic strain mapping. The interpreted residual elastic strain fields will be validated by comparison with known results and direct diffraction measurements.