If you think the mom will stay broody, then you can certainly try.
The first thing you have to do is choose if you want to leave the mom and babies in the coop with the other hens, or if you want to separate them. This will really depend on how high the mom is in the pecking order, and how nice your chickens are with each other.
Once you've chosen where you're going to let the mom raise her chicks, then you can prepare a nice nest for her. Put some chick starter and water right by the nest, and give her some eggs or golf balls to sit on.
Once it gets dark, bring the babies out to the coop. You can use some light so you can see what you're doing, but try to use as little light as possible. You really don't want her to see what's going on. Gently replace the eggs/golf balls with the chicks. The mama might settle herself down on the chicks. That's a good sign.
30 minutes later you should go check on the mom and babies. There is a chance that the babies might reject the mom and leave the nest, or that the mom rejects the babies and leaves them, or even kills them. Make sure the babies are still under the mom, and everyone in happy.
Check on them again an hour later.
The next morning, you should check on them as soon as the sun comes up. The mom should still be settled on the nest with the babies under her or around her. She should be making a soft tuk-tuk-tuk sound. If you watch, the babies will duck in and out of her feathers.
If all this is happening, then the mom has successfully adopted the chicks. If the mom is not in the nest, or the babies are wandering around, far away from the mom, then it was not successful, and you should remove the chicks right away.
Hope everything works out! Good luck!