Thank you for the photos.
How is she kept - what's the brooder/coop and run like?
Is the loose black "scabbing" underneath the foot too (what's the bottom of the foot look like)?
I would do as you are doing. Soak the feet but add something to the water like Chlorhexidine (hibiclens), betadine or epsom salts, then gently work on sloughing off that skin - it make take a few days.
Dry the feet well, then apply triple antibiotic ointment or vetericyn to the feet.
I would not wrap them. Keep her on clean dry bedding, I would kennel or cage her - puppy pads is what I would use for "bedding". Ideally it's best to place them near/with the flock so they stay familiar - so if there's a way to place the cage inside the coop/run that would be good.