Likely answer

Picture Books About a Red-Haired Girl Named Kiki

The picture book you are looking for is "Kiki Dances" by Charlotte Steiner. The story follows a little red-haired girl named Kiki as she discovers ballet and attends dance class. It is part of Steiner's classic vintage series featuring Kiki, which also includes "Kiki Skates" and "Kiki Goes to Camp."

Confirmed match: Kiki dances by Charlotte Steiner