The vet's daughter - Barbara Comyns

In this Freudian fantasy, Alice Rowlands lives with a father glowering
'like a disappointed thunderstorm', a fast-fading mother and a beastly menagerie in a dark house in 1930s Battersea.
With her mother's death, life becomes almost intolerable for Alice, whose father treats her as a slave.
Then kind 'Blinkers',
the vet's assistant,
arranges for her to live with his mother in the country.

There, Alice revels in the beauty of nature and falls head over heels for Nicholas, the lovely boy who takes her skating, motoring, and smiles at her. But Nicholas has other fish to fry, and Alice is forced to fall back on a talent for rising above her troubles . . .

Back in London, that talent comes to the attention of her father -- who rapaciously propels Alice towards fame on Clapham Common . . .