Help! One chick's membrane still intact. What should I do.

[HatCo]

I have a hen that went broody and we added a few BCM eggs for her to hatch. Three chick have been born today including one BCM. When I went back in to check I saw on one egg where half the shell was missing but membrane was still intact.the half not facing the camera is all membrane. I did see movement in the egg about 2 hours ago She is not laying on it. The other BCM egg has been pipped (cracked a hole in shell). She isn't fully laying on that one either. Should I put eggs back under her?
We had to move her nest earlier due to danger of baby chicks falling out as she was in elevated nest. We moved the entire nest to a ground position.
Any advice would be welcome.

 

[nuthatched]

Moisten the membrane with oil and check for veins and movement.

 

[HatCo]

Thank you

 

[HatCo]

Moisten the membrane with oil and check for veins and movement.

I added oil and at first there was no movement but after making sure all of membrane was moistened (without adding too much) the chick moved and peeped. Yay!
The pointy part of egg was squishy (possibly the yolk?).
So grateful for the advice.