Life can get pretty complicated can't it? There are a whole lot of different things that can happen. I'll take a stab at answering this, but if you could tell us what you want to happen, we might be able to give you a better answer.
Some people have multiple broodies share a nest, eggs, and chicks and it works out great. Sometimes you have real problems. The hens may fight over eggs or chicks, with eggs or chicks getting damaged. One broody may kill the chicks that hatch under the other. You see posts on here all the time where people are real happy with the way multiple broodies work out for them, yet you also see posts where there were problems.
If you are that afraid if the broodies, you might try wearing leather gloves and thick long sleeves, but sometimes you need to do what you need to do. You are the adult in this relationship.
Your situation is complicated by having two different hatch dates. It's very possible that both broodies will leave the nest if one chick hatches. I'd say it is even probable. But there have been cases posted on here where one broody left the nest with the chicks and the other stayed on the nest. They are living animals. You don't know what they will actually do.
One possible option may be to try to split the broodies. Leave one in that nest but, at night, move the other to a place where she is locked up and cannot get back to the original nest. You'd need a nest, enough room to feed and water her, and enough room for her to poop. Again there are different ways to go about this, but I'd use fake eggs to see if she accepts the new nest before you gave her a real egg.
You can let them go on as they are and see what happens. I really think they'll both abandon the second egg if the first hatches but you'll never know.
Normally I'd say you could break one from being broody, but you have that complication of different hatch dates. If that first egg does not hatch, this becomes an option.
You could remove one broody and the chick before they abandon the nest. Have a place prepared where you can lock them up and keep the broody and chick away from the original nest. She might accept the chick or she might not. The other broody might stay on the nest with the second egg or she might not.
A broody will often accept day old chicks. Some people are successful just introducing them during the day, but when I do it, I put them under her at night after it is well dark. She feels them moving under her and hears them peeping all night, so by morning she has accepted them.
I’ve also added chicks to a broody hen’s brood during the day. I had one broody that hatched and I had incubator chicks that hatched at the same time. When the broody took her chicks off the nest, I just put the incubator chicks with hers. No problems at all.
The second broody and later hatch date complicates this too. Even if you separate the broodies, the second one may hear the chicks and abandon the nest to go look for them. The broodies may fight for possession of the chicks or they may work together to raise them. The second broody may stay on her nest.
I can't give you any guarantees with any of this. As I said, it can get complicated.
I really don’t know what I’d do in your situation. I don’t know your set-up or your goals. I don’t know how valuable either unhatched egg is to you. They tend to get real valuable when they go under a broody or in an incubator. I’d either let them go and see if the first egg hatches, which I think puts the second egg at risk, or I’d try to separate them if I could, but you may not be able to or it may break one from being broody.
It’s a rough situation. I do wish you good luck.
