While this is a horrific, tragic story, I'm not even sure how much good a blood transfusion would even do her. Once cancer goes to your bones---your fate is sealed.
She likely has Osteogenic Sarcoma which is a bone cancer; quite different than cancer spreading to the bone. Cure rates for Osteogenic Sarcoma can be close to 70%. No fate is sealed for primary OS.
Are there any treatments that can produce an increase of while blood cells?
Yes. Neupogen (GCSF) is a growth factor created naturally within the body that is now created in the lab. It is a factor that stimulates the production of white blood cells, administered by a subcutaneous injection.