Broody hen

Hi, my first post here, so hope it's not a silly question!
I have a hen who has been sitting on a clutch of eggs for about 10 days now. I have to lift her off every day to get food, drink and do a poo otherwise she won't move. Last night when she went back in my husband said she had gone in the box next to the one with the eggs in, but I didn't worry too much as I thought she would realise and move. Unfortunately this morning I found her still sitting in the empty box
It was quite a warm night here (we're towards the SW of France) and the eggs are in a straw nest. I have changed her over, but is it too late? Will the eggs have been alright without her, or will they have got too  cold?

Thanks for the prompt response. Up until last night she has always gone straight back on to her eggs, so not sure what she was thinking yesterday
I'm glad to hear that you think the eggs will still be OK without her (it was about 12 hours); it's a good job it was a warm dry night as well.

Well until tonight so far so good. I still have to lift Mrs Jennie out each time otherwise she just will not move as far as I can tell. I have put a water drinker in the shed, but away from her so if she does want some she has to get up and go to it.

Because the other hens and the cockerel started mobbing her when I brought her out in the afternoons I now get her out in the evening after the others go in. It is still light and I leave her to have a walk, eat and poo then let her back in. Unfortunately when I lifted her out tonight one of the eggs came with her and cracked in one place as it hit the ground . I immediately put it back in the nest, but on checking it before Mrs Jennie returned it has a little seepage of blood on the crack. I presume this will now be no good as either germs can enter or it has damaged the embryo inside. What should I do? (For the moment I have left it under her). I estimated there are about 4-5 days left before hatching might commence.