The 2D structure of lead plumbene is also considered as a cousin of graphene, due to enormous structural relevancy. They have very good prospects to get utilized in several engineering sectors due to their tremendous astonishing electrical, mechanical, and thermal properties. Earlier researchers had estimated thermal conductivity, melting point, specific heat at constant volume, and pressure of plumbene. Study of these properties with change in temperature, sample dimension, and orientation of plumbene sheets was also conducted using Molecular Dynamics (MD) simulation and analytical modeling. In this paper, we reconnoiter the thermal resistance of plumbene sheet arranged in horizontal orientations. Fluctuations of these patrimonies apropos sample dimensions and temperature are also divulged implying MD simulation empowered by Machine Learning (ML) interatomic potential. These thermal properties of plumbene were not reported earlier and will be very useful in several engineering sectors like thermal, electrical applications, non-conventional energy research, etc.