Belinda and the Witch's Cat — Margaret Pearce

Belinda is an only child, and lonely. When her mother has to leave home to recover from her illness, her grandmother arrives to look after her. Belinda discovers to her delight that she has a very unusual grandmother and her grandmother's cat, a superior Siamese called Senna is equally unusual. Belinda's life suddenly becomes full of friends and adventures. She learns to fly a moth eaten carpet to visit her mother, turn a big black bear back into her father and saves Senna from certain death.