'angora-fiber' originates from the English combination of 'angora' and 'fiber'. 'Angora' ultimately comes from the Turkish place name 'Ankara' (historically called 'Angora'), and 'fiber' derives from Latin 'fibra' meaning 'fiber'.

'angora' entered English via French and Italian forms of the Turkish place name 'Ankara' (historically 'Angora'), eventually becoming the English word 'angora'. 'fiber' came from Latin 'fibra' through Old French into Middle and Modern English as 'fiber'.

Initially, 'angora' referred to the place (Angora/Ankara) or things from that region; over time it shifted to refer specifically to the soft wool/fur of animals (especially Angora rabbits), and 'angora-fiber' now denotes that textile fiber.