No, don't take them from her as long as they are undamaged.
Removing them before she abandons them can cause her to lay
more to replace them, further depleting her calcium, leading
to egg binding. But yes, for sure, if you have a nest box in
there, get rid of it and put her eggs in something that is
wide open like a large bowl, or similar, lined with paper
towels. The darkness and privacy of a nestbox encourages
laying whereas a wide open container will not.