Is this chicken a pullet who just came into lay? If so, she may be producing larger eggs than her body can expel easily. Some pullets take a while to get things going right. Were there double yolks inside, or did it seem like two eggs were stuck together end to end?
At any rate, it sounds like the egg was stuck, and what you did was right. Break the egg VERY CAREFULLY, and then be sure you remove all the shell bits.
If she is an adult hen and this happens all the time, I guess it's up to you to decide if you want to deal with this or cull. If she's a youngster, I'd give her some time to straighten out.
Good luck.
Oh - when you are having a crisis and don't know where to turn, check out dlhunicorn's links to just about anything you could want to know. It might be a good idea to check out the site when you have time to look around, so that you are familiar with it when you need to find something fast.