hmmm, I don't know much about them but her is something i found:
If the eggs are fertile, they will turn a darker color after the first week. If you cannot tell buy looking at the eggs whether or not they are fertile, you can candle them. Candling eggs is really pretty simple but if you are very nervous about it, do not attempt it. To candle an egg all you need is a pen light or a small flashlight. Put the light behind the egg and look for small red veins inside the egg. You may also see the tiny embryo's heart beating which will look like a small red dot rapidly pulsating within a larger red area. If the egg is a week old the entire contents of the interior of the egg might appear red, and by this time, you probably will not be able to distinguish the actual embryo. Handling the eggs is safe if you wash your hands first and do not handle them a lot. The oil from human fingers can clog the tiny pours in the shell that the chick needs for the exchange of air. If there is room in the nest, you can hold the small light gently against the shell for a brief period to look for signs of life. This method does not require that you handle the eggs at all.
I think for her to be sitting on them for about a month and they still didn't start hatching might be alot of time...
I also found this: The hen will lay about one egg a day, for 3 to 8 eggs. They will start sitting on the eggs when she is done laying eggs. Both mom and dad help with the incubation but mom does most of it. The eggs should start hatching about 14 days after they start sitting. If after 20 days nothing hatches, remove the eggs for they apparently are not fertile. She will start laying again soon. You do not need to empty the nesting material, just the eggs.
If the female ever goes away from the nest, you can try to quickly clean up otherwise I think you shouldn't bother her. I wish I knew more about them so I would have some better suggestions, I hope the others will have some better advice