Which preposition to use with overweighing

with Occurrences 1%

All of rich summer smacked, of autumn all: Pears at our feet, and apples at our side Rolled in luxuriance; branches on the ground Sprawled, overweighed with damsons; while we brushed From the cask's head the crust of four long years.

of Occurrences 1%

It is due to an overweighing of the pituitary, controller of good brain tone, and alive wakefulness, by the demands of the organism.

Which preposition to use with  overweighing