How old is your hen? It looks she's laying thin eggs that are being malformed in the oviduct and cracking easily. This might be due to old age, a fluke occurrence, or too little calcium in the diet. Make sure she doesn't have any signs of disease or external parasites (mites, lice) that could be stressing her out and causing problems. I might also try supplementing her with extra calcium, whether in the form of crushed oystershell or ground up baked egg shells.