I haven't tried Biotene or rosemary. I am sure it won't hurt.  Biotin will  help existing hair become fuller and thicker, but to actually regrow lost hair -- that's another story. But it feels good to be doing something. I understand completely!  

Steroid shots have been used safely on children for many years. If she is okay with receiving them (they can be painful), and it's helping, then I would go ahead.

If your derm is knowlegeable about alopecia, I would follow his/her advice. Sounds like her hair is growing back with the shots. I hope it continues!