We don't have a rooster either, and one of my cochins is broody. Sounds like she'll be doing this often due to her breed. I'd take the eggs or they'll be wasted-she may sit there whether there are eggs or not, mine does. You can wear gloves or I have had luck with just talking to her and stroking her back until she relaxes a bit, then I remove her from the coop and lock her out. She makes the most forlorn noises wanting back in, but she's eating and not sitting all day. It's amazing how hot her little body is! Now I understand why people say to dunk them...
We don't have the room for more, but if you can, I'd let her hatch some fertilized ones, too!