It’s a children’s book, I think middle grade level? Not sure though, but I don’t remember it having pictures. A girl wants a horse for her birthday, but her parents get her a model horse instead. Girl is disappointed (I would be too!). She climbs a tree with the model and puts it on a branch, but is mad at it and flicks it down to the ground. It comes to life (full sized) and talks. She rides it around. I don’t remember how it ends. I probably read it in the early 90’s.
Touch the Moon by Marion Dane Bauer