From my experience gilts and sows both accidentally crush their pigs. I assume it would be more common with gilts but I can't say for sure.
With our big sows (full size durocs, yorkshires, hampshires) we have what's called a farrowing crate for them to give birth in. There's a place for the mom in the middle and the piglets can go anywhere(on one side, on the other side and yes under the mom). We put a heat light on either side of the mom and the pigs tend to stay under that so when the mom lays down she doesn't crush them.
I'm not sure how to rig up one for a pot bellied sow but I'm sure there's a way. Then again they might not have any more problems because she just laid on the sick one.
Hey, first time for everything! Just like riding a bike. The more you try, the more you end up learning. And if you don't give up before you know it you'll be handing out tips and advice. Not trying to force you into it. If you don't enjoy that part of raising pigs than why do it?
Anyway, I really hope that the rest of the piglets survive for you.
MW