Nygal, The doll on the right (that you posted) should have some other kind of wig. That one is saran and does not suit the doll. She is very pretty otherwise.
Seasidegal, Your doll is probably a migic skin baby. If there are no holes in the magic skin, don't replace anything on her but clothes. I have one also that I received for Christmas in or about 1945. Her arms and legs are blackened but she still has her original clothes and blanket. Don't throw yours away and don't replace anything but clothes and then only if you don't have the originals.