Broody?! Is it my fault!

Hello again, I need some advice please.
Had our point of lay girls nearly 3 months now. All have been laying and developed into lovely hens.  We had a few soft shells, and eggs laid in weird places to start with. So I put some fake eggs in to give some guidance, and we are now getting a good number of perfect eggs all laid in the nest boxes.  I guess what I should have done was remove the fakes, but I didn't.
And now I think Speckle has gone broody. She went into the nest box late this afternoon and didn't come out.
I've just been in to investigate, and oh dear God, she behaving like something off the Exorcist!
I don't want her sat in there for weeks.  We dont have fertile eggs, and I dont want chicks anyway.
What should I do? Go in with gauntlets and get the fake eggs away? Or just leave her?
Never had a broody hen before.

Thanks Lillileaf. I'd decided to try to nip it in the bud as she's only been in there 3 hours. So have just been in with gloves on and lifted her out. I've sneaked the fake eggs away. She's currently drinking and eating in the run, and fingers crossed will lose interest in her new hobby when she finds the eggs have gone,
Just reading another suggestion on line, and that's to open the lid of the nest box, once everyone has laid  and eggs collected. That might work because they are usually all done by lunch time. So, if she goes back I'll try that first and if that fails I'll get the dog crate out. 
Appreciate your advice.
Fake eggs are now put away. They've done their job and then some!

I have just been through this for the first time and spent weeks trying to stop it.

If it carries on today do what Lillileaf says and get the dog cage out and forget about any other methods, 3 days worked for me.

3ft long by 2ft wide with a piece of wire mesh across the bottom if the cage holes are big propped up on some bricks to get a draft up her backside.

3 days in chicken jail is better than weeks of trying other methods whilst watching her lose weight and plucking her feathers out.

She will go back in.

Get a wire dog cage. 3ft ish long and 2ft ish tall, don't go much smaller and you don't need any bigger. The holes will probably be 2"ish so get a piece of mesh for the bottom 1/2"ish.

Put food and water in there but no straw and leave her in it day and night for 3 days. Raise it up off the floor with some bricks or timber.

Let her out after 3 days to potter around and if she goes skuttling off to the nest box put her back in jail.

There is a broody switch that has clicked on in her brain and you are trying to turn it off. The dog cage might sound cruel but it is better for her to get things over with quickly.

Went and got a wire cage, some sortof cat carrier this morning. Bit on the small side, but it was all they had. Put her in and quickly took her out again before she hurt herself. Holes too big and she was forcing her head through in an alarming way.
Plan B, have set to this afternoon with scrap wood and leftover weldmesh and crafted something a bit like a weldmesh tunnel fixed over a raised of base of more mesh and slats. It's in the run, under cover and Ive just put her in there with water and pellets. She's not happy, but needs must, and I know it's for the best. And I feel happy at least that it's not too grim in there, she's safe, she's got room to move, but not cause trouble.
I think I'll leave her in there till Sunday and then see if she's snapped out if it.
Thanks for all your help and advice. Very much appreciated. I wouldn't have had a clue!