The lice eggs will be attached to feather shafts and might be difficult to remove. Apply coconut oil to remove them. Inspect ALL your birds for lice and mites, especially around their vents where it's warm and moist.
Avoid their eyes when applying permethrin. You can put a little permethrin dust on your fingers and gently rub it on her face/wattles.
As mentioned, you'll have to remove bedding from their coop and dispose of it, including nest box material. Clean the coop, then either spray or dust everything inside the coop including nest boxes and roosts. Then put in new bedding. I recommend that you lightly dust the new bedding with permethrin powder, then 'pat' it down.