Ok......I meant to get back here for an update yesterday and spaced it.
Anyway, I think it's working.
I went down there yesterday morning and checked the light on the fence charger. There is a good, strong, blinking signal.
I watched the goats when they were down there yesterday and I actually didn't see them go anywhere near the fence, although I'm not sure if that was because they just weren't interested in anything on the other side at that particular time or if they knew the fence was hot.
I still can't feel anything through a blade of grass (could that be because of my rubber boots?) and I can't get a signal with my tester (but I think there's a possibility it may be defective).
We're entering into a very wet weather pattern so it's unlikely that the goats will get that far from their shelter (because, you know, rain
hurts if you're a goat

), so I'm probably not going to have to worry too much for a while about them testing the fence. But I'm wondering how often I should bring that battery in for recharging without having to wait until the goats are out for me to know it's time?
BFF: How would I test the battery with my fence tester? I have one of these:
Dare Products Inc 460 Electric Fence Tester
The battery has the connections that plug into the fence charger but I'm not sure how I would get that tester over the positive connection thing.
Shayanna: wet ground should not be a problem. We've had a tremendous amount of rain since the middle of October (I think something like 15 inches).
I will also be adding two more ground rods over the next week or so - after I have an opportunity to go to town.
Anyway, thanks for all the help and suggestions.