Ah, problem solved.
Well, not quite.
A couple hours later, Kevin came and got me, "You better come mom, the goats are next to the road now". We live back a lane, so there's not a lot of traffic, but still, we wanted to get them away from the road quickly. They acted like they would like to follow me, but, they didn't really want to get on the gravel, after all, the plot of grass they were eating was nice and soft! I said I wish we had some grain, or something that the goats would think was grain.
That's when Kevin lit up, and said, "Cat food!"
He ran up to the house, put some cat food in a tin can, then gave it to me. He circled back around behind the goats, I started shaking the can, and those goats followed us right out the road, and back into the pasture.