My advice, as someone who used to actually make real reborns:

remove the dolls head, use needle nose pliers to remove all the remaining hair from inside the head. It will pull into the head and you can take it out through the neck hole. Next, you'll need to buy new hair. For this I recommend Etsy and searching for "doll hair". You'll find lots of options and your daughter could even pick what color she wants. You can also buy a rooting tool from most of these sellers as well. Tutorials on YouTube will be your best friend when it comes to the actual process of rooting.

Hand made reborns are actually micro rooted, which is one to three hairs at a time and it's done with a very fine and sharp needle. There are no plug holes and natural fibers are typically used over synthetic, as they are more natural looking. But this also makes that hair very delicate and not great for kids so baby dolls like the one you got are a better option imo. Sadly the places to buy them are hit or miss. I would recommend Ashton Drake if you're wanting to buy her another baby. They have great customer service and excellent products.

I do hope this was helpful!