We shall enhance our understanding of temperature, as was introduced in a previous paper [1]. Temperature is traditionally treated as if it has a linear relation of a system’s thermal energy, throughout most temperature regimes. The limitation of temperature’s relations will be discussed. Also, an improved understanding as to why various system’s measurement of temperature, does represent a measurement of that system’s thermal energy. It will further be discussed why statistical thermodynamics is mistaken with its various assertions, ending with a discussion as to why Maxwell-Boltzmann’s speed distribution is at best, only a rough to good approximation for what is witnessed in experimental gaseous systems.