I had a celluloid doll as a child, sounds just like the one you have now. I only got it because it's tummy had caved in, it had been used in the haberdashery shop across the road from our house for displaying baby clothes, it was of no use to them anymore so the lady gave it to "That poor little half blind girl at number 46" .
Me, I played with it for hours operating on it's tummy using cardboard, string, second-hand brown paper sticky tape (the stuff you had to lick and tasted rotten), news paper anything I could lay my hands on really and in most cases get a clipped ear for using it on a doll, when it had been saved for mending something more important than a broken doll.
I also had a brand new walky-talky doll one Christmas . Dad had won her in a raffle, she had a yellow satin dress and hat to match, needless to say I was never allowed to play with her. She stood in the corner of my bedroom and I was only allowed to look at her, but when everyone was asleep I would wake up and play with and talk to her in the dark (a little scared that Mom would come in and catch me) I got a reputation in the house as a sleep-talker.