Farthing is an old word meaning a fourth or a quarter. In modern usage it could refer to:

British farthing coin, an old British coin valued one quarter of a penny

Irish farthing coin, its counterpart among the predecimal coins of the Republic of Ireland

farthing, an old subdivision of various regions into four parts in northern Europe, mainly the English county of Gloucestershire, the Swedish province of Jämtland and the republic of Iceland. J. R. R. Tolkien also used the term for the subdivisions of his fictional country, the Shire

Farthing (novel), a novel written by Jo Walton

The Animals of Farthing Wood, the first of a series of children's books written by Colin Dann