This is a children's book which has also been published as Skating Shoes.

The doctor prescribes ice-skating to build up Harriet Johnson's strength after illness. Though her family is poor, her brothers raise the money needed. At the rink she meets rich girl Lalla Moore, the daughter of a famous skater, and they become friends and take lessons together. Harriet's patience and persistence make her the better figure skater, though Lalla has an attractive personality and a spectacular skating style. This causes some trouble, but eventually Lalla accepts that her future lies in show skating, not in competition.