Which preposition to use with overlaying

with Occurrences 53%

In general, the country was as I have described iteither volcanic or overlaid with fertile earth.

on Occurrences 3%

© on two overlays on money pages, foreword & letter on last page; 4Oct29; AA30797. Platt & Munk Co., Inc. (PWH); 16Oct56; R178399.

of Occurrences 2%

The black hand-bag that had always accompanied her on her journeys had been replaced by a gold-meshed one of showy richness,Australian gold of a greenish tone like an overlay of Florentine bronze.

of Occurrences 2%

The painter is a chemist delving into the secrets of pigments, varnishes, mixtures of tints and mysterious preparations of grounds and overlaying of colors; occult arts by which the inward light is made to gleam from the canvas, and the warm flesh to glow and palpitate.

Which preposition to use with  overlaying