Laser shock peening (LSP) can improve the fatigue performance of components by introducing compressive residual stresses to the surface. Residual strain has been measured in LSP'd Ti-6Al-4V fan blade root style test-pieces. Neutron diffraction (ND) has been used to measure residual strain in three orthogonal directions, which is necessary to calculate stress. This is more difficult using high energy synchrotron X-ray diffraction (SXRD) because of the characteristically low diffraction angles. Instead plane strain measurements have been made in transmission through the thickness of a sample. The out-of-plane strain was calculated using stress equilibrium arguments, and this calculation was evaluated and refined using finite element modelling. The resulting stress maps of LSP'd blade roots reveal the pattern of overlapping laser impacts. The compressive stress appears to extend more than 1 mm below the surface.