This study explores the intricate dynamics of Blasius and Sakiadis flows over a horizontal plate in the presence of heat generation, absorption, and chemical reactions for the Williamson fluid model. The research utilizes the Cattaneo-Christov heat flux model to delve into the complex interplay among these factors. The similarity transformation technique is applied to the partial derivatives equations, transforming them into nonlinear ordinary differential equations. These equations were subsequently solved numerically using the 'dsolve' command in Maple software. Comparative analysis with previous research confirms the robustness of the equations. The findings indicate that increasing the dimensionless Williamson parameter resulted in an enhancement of both the dimensionless velocity gradient and the boundary layer thickness in Blasius flows. Conversely, the opposite effect was observed in Sakiadis flows. Likewise, an increase in the non-dimensional heat flux relaxation time increased (decreased) the temperature profile for Blasius (Sakiadis) flow. Moreover, a rise in the Prandtl number, chemical reaction parameters, and Schmidt number resulted in a decreasing trend in the temperature profiles of both flows. Finally, an increase in the dimensional thermal generation or absorption coefficient led to an elevation in the temperature profiles of both Blasius and Sakiadis flows. This comprehensive investigation elucidates the intricate nuances of heat and mass transfer in the context of Blasius and Sakiadis flows within the Williamson fluid model over a horizontal plate.