Disclosed herein are various systems, sub-system, and methods for the manufacture of a wall module for using in building a modular construction unit, e.g., for using in building residential homes, commercial offices, educational or service facilities, etc. using a substantially entirely automated modular construction technique. According to the disclosure herein, the resulting wall module includes an internal wall frame including wall studs attached between a top plate and a bottom plate, with, in some embodiment, one or more framing sub-assemblies attached therein to define openings through the wall module. The wall frame has suitable panel members the respective surfaces thereof corresponding to the interior and exterior surfaces of the modular construction unit. The wall frames, when completely assembled, can be transported to be assembled with other constituent components of the modular construction unit to complete the manufacture of the modular construction unit.