I'm so glad she's bouncing back!!
From what I understand, it's unusual (but not impossible) for a chicken to molt outside of Fall...
I would check both your molty mamas for evidence of mites and/or lice. If you part the feathers around their vents, you may see what looks like little reddish-brown specks crawling around OR a clump of syrofoam-looking stuff around the base of the feather shaft (those are eggs).
Mites and lice can make chickens go anemic, and that will DEFINITELY make them feed bad, and can make them lose feathers... There's a parasite for that called feather mites.
Also check up around her ear openings. Sometimes, you will see whitish-clear crawlies there.
The treatment is a liberal dusting of Sevin dust (you can get it at
Tractor Supply or any garden store)... make sure you dust the vent, her back/shoulders, chest, and under each wing. They say Diatomaceous Earth works, but I've seen mixed results... Where I *know* Sevin will get them. With your mama feeling so poorly recently, I wouldn't take a chance "hoping" on a treatment.
Let us know what you find.
MrsB