I was having this problem with my dear Henrietta a while back, and getting rid of her was not gonna fly since she is my favorite girl, thinks she's a person stuck in a chicken suit....
Anyways I read on a similar thread here to blow out a couple eggs, fill it with soap, cover the holes with wax, and place in nest. Be very diligent about pulling real eggs quickly. The egg eater will get a nasty surprise. Henrietta didn't do this again for a very long time. Every once in a while we have to do a quick reminder, but I also ramp up calcium around this time too. It happened just a couple weeks ago again when it got very hot, and I actually needed up with an egg bound hen as well, so I think calcium deficiency was to blame due to the heat. But try the egg soap trick!