Someone from the area sent us an article that originated (I think) with Texas Wild LIfe about woodpeckers, specifically pileated. They said there are three reasons the birds peck - forage (not the usual reason for what they do), mating, and roosting. Apparently they like to roost in large holes that they hollow out in trees. For some reason, even when there are plenty of suitable dead trees, they attack buildings - and keep on attacking because they are unable to hollow out the space they are trying for. Included was an article about a house that was attacked. The homeowners tried everything, but nothing worked. Painting or spraying the building with a variety of substances diden't work because the birds weren't tasting anything - they were just ripping off chunks of wood. They even got inside the house (more damage).
The solution - nest boxes. If large nest boxes, similar to the bluebird ones you see along highways, are erected - one for each bird - are erected, the birds will leave the buildings alone. There were pictures of a row of nestboxes, each with a pileated looking out. So there may well not be any insects, since that's not what they're looking for - they're just trying to hollow out spaces for themselves to roost in at night. Guess what we will be doing now?
And for the record - we simply asked conservation for help - it was their decision to shoot.