This paper investigates the propagation of Rayleigh waves in a model consisting of a non-local elastic dry sandy layer overlying an incompressible non-local porous semi-infinite stratum under the effect of a rigid boundary on the surface of the model. Displacements and stresses continuity conditions at the interface and zero displacement conditions on the free surface yield a complex dispersive relation of the Rayleigh wave. It is also analyzed numerically using MATLAB software. The effect of the non-local elasticity, sandy parameter, and porosity parameter of the velocity curve is depicted graphically and compared with the existing results. Further, the obtained dispersion relation is compared with the dispersion relation with the local elastic stratum of the same model. The model developed creates an insight into the practical seismological problems involving non-local elasticity.