I agree with Sourland. Don't make this hard on yourself and let the hen do the work. Hens have been raising chicks for thousands of years, and game hens are the bomb at being mommas. No one messes with their babies!
You don't need a heat lamp in the coop for the chicks, momma is their heat lamp. If you've only brooder raised chicks before, you'll be amazed how much time they spend out from under her from a few days old, no matter how cold it is outside.
Once the first chick hatches, momma will usually stay on the nest another 1-2 days to give all the chicks time to hatch. Once she feels they're done, she'll take the chicks off the nest for food and water. The first hatched chicks don't need food or water for the first few days, so they're fine to just hang with momma. When she's ready, she'll take them off the nest. Be sure there is feed and water where the littles can reach it. They'll be able to free range right away, momma will keep them away from the main flock for a few days and gradually work her way into the flock. Lots of space for the littles to keep out of the mature hen's way and some hiding places are a good idea. Other than that, sit back and let momma enjoy her babies!