Hello again,
I am sorry to hear of all the trouble your little girl has has to endure. Actually, a supplement was going to be my very next suggestion.
A suppressed immune system is cause in itself for hair loss in out pets. As she was weakened by the infection, her body lost important vitamins & minerals needed to mantain a health coat , as well as healthy skin.
In addition; certain nutrients that are sometimes implicated in hair loss are actually "essential" fatty acids.
To try a more "natural" approach, we recommend flaxseed oil or the amino acid L-cysteine.
Dosages: Flaxseed oil, 1 500-milligram capsule or up to 2 tsp. (of powder) daily.
L-cysteine, 500 milligrams 1 time daily, (not with food).
In using these, you should see a change to her coat with 7 days of continued use.
These can be obtained in most places that carry vitamins, and are fairly inexpensive.
I hope this might help some..Goodluck, and if you still have concerns, you might consider taking her to the vet to see what else they can suggest.