After doing some research, I don't think the goats have chicken lice. They probably have goat lice. There is such a thing as chicken lice, but it doesn't infest goats. Nor vice versa.
A couple moves from the big city to the countryside and starts a small farm...wait, you've heard this premise before? What? Trite? Hackneyed? But, I have goats. Really cute pictures of tiny baby goats. And cheesemaking recipes. We slaughter our own pigs and cure our own bacon! Well, that's in the master plan, anyway. Just read it, you'll see.