Polarization singularities are constructed by superposing orthogonal polarization circular Airyprime beams carrying different topological charges, generating a variety of initial polarization singularity structures such as quasi-lemon, V-point, and quasi-high-order polarization singularities. Numerical simulations are employed to investigate the evolution of these structures during free-space propagation. The results show that, for elliptical polarization fields, although the topological charges of the polarization structures remain invariant, their polarization states undergo significant evolution, characterized by changes in ellipticity, polarization handedness, and the transformation from quasi-singularities to standard polarization singularities. In contrast, for vector optical fields, the V-point structure remains topologically stable during propagation, while low-order vector fields can also evolve into stable polarization singularities. This work enriches the understanding of the formation and evolution mechanisms of polarization singularities and provides a theoretical basis for the precise control of polarization fields, with potential applications in optical micromanipulation, polarization encoding, and structured light field modulation.