A good broody is priceless!Yes they are all hers biologically.
I don't know the name of the moth, I just thought it was pretty.
I'm sure she was, especially with 14 of them. It could have taken 2 days to hatch them from start to finish. A good hen will not leave the nest until all have hatched that will hatch. She is also a calm hen and is perfectly fine with me handling the chicks.