She is the offspring of JMF quail from southwest gamebirds. Same genetics as your birds. If you can't feed them a nutritionally complete feed, you need to rehome them. period.
At that age they should be just about done growing adult feathers in, so I'd expect to see feathers in the cage but they shouldn't be going bald. What are you feeding them? More protein will help them feather out, 28% or better game bird starter.