This paper studies the complex flow processes of a Maxwell nanofluid over a stretching surface when Hall currents, cross-diffusion (Soret and Dufour), thermal conduction because of Brownian motion, and thermophoresis are present. The phenomena are used in fields like polymer extrusion, geothermal power, electromagnetic pumping, microfluidics, and novel cooling. The aim is to investigate the interplay of these coupled effects on the velocity, temperature, and concentration fields, thereby maximizing overall flow, heat, and mass transfer in an industrial or biomedical process. This research has developed a magnetohydrodynamic (MHD) process model to study the behavior of viscoelastic Maxwell fluids, accounting for the effects of thermal radiation and chemical reaction. By introducing similarity variables, the systems of equations governing changes in concentration, energy, and momentum were transformed from partial differential equations into a set of ordinary differential equations. The resulting system of nonlinear equations has been solved using the bvp4c routine for MATLAB. The data demonstrate that increasing the Hall current results in lower cross-flow velocities and temperatures due to a decline in the electromagnetic force of attraction between two oppositely charged particulate layers, and higher primary flow velocities. In addition, the Maxwell viscoelastic number decreased the primary flow and increased the secondary flow due to fluid memory effects. The Innovation is in the interaction of the Hall current, viscoelasticity, nanoparticle transport, Joule heating, and porous resistance with convective boundary conditions