Hey Born2MD,
I hunt CW relics over in Tennessee on the weekends and let me tell you, you are right about the ground being rocky. Fortunately, I've never really run into the problem where the ground is SO rocky where I can't maneuver the rock out of the way.
I have, in fact, gotten a 'false' reading from rocks before. If the rock is large enough and full of different minerals, your detector will give you a false reading. Some rocks do have alloys which is a mineral that will give you that reading.
Are the rocks quartz? If so, you may be sitting on a gold mine, literally, depending on what part of Georgia you live in.
But let's assume that it's not gold in the ground. All of the relics that I have retrieved to date(which is a pretty good handful) I've never had a huge rock prevent me from finding a relic. Let's think about it for a second. The Civil War was about 150 years ago. Since then, the rocks may have moved 2-3 centimeters since then. So they were there while the war was going on. Unless a soldier lifted up a rock and placed a few buttons underneath it, I'm not quite sure if there is going to be anything underneath them.
Don't get me wrong though. If you're getting a hit, then you're getting a hit. There are 3 possible solutions to getting the rock moved.
1. Pick axe.
2. Bull Dozer.
3. Dynamite.
Also, do you have a pinpointer? This is a MUST for relic hunting. Over the weekend, my pinpointer fell out of my pocket. I quit detecting for 45 minutes, because it's VERY time consuming to find SMALL percussion caps just by a 9.5 inch coil that you can't fit into the hole.
Anytime you need some help, just ask!
Ian