I once worked on the top floor of a building (11 stories) in which small spiders would sometimes rappel down from the ceiling tiles. This freaked out an arachniphobic coworker.
I thought he’d find it comforting to know that spiders are carnivores and he should be more worried about whatever it was they were finding to eat up there. Strangely, this information did not ease his fears. Go figure.
I meant a bigger problem with your house, if a woodpecker is tapping on the siding.