Hello and Welcome to the forum!
It's not that uncommon for females without mates to lay a clutch of infertile eggs. If you remove the eggs, Charlie may keep producing eggs to replace them. Instead of removing the eggs and tossing them, it's better to replace them with artificial eggs, you could also boil the eggs and put them back for her. The idea is to let Charlie keep her eggs until she has lost interest, from four to six weeks is usually long enough. You can put the eggs in a small bowl or basket for her. Quakers usually lay an egg every other day until they have five to seven eggs but the number may vary.
Be sure to provide a good diet while Charlie is laying. You can add clean, crushed egg shells and lots of veggies to help keep her healthy while she's producing eggs.
Good luck with your girl. Please keep us updated.