John Greenway was a wealthy wool merchant of Tiverton in Devon who is chiefly remembered for his surviving building works in that town, namely the Greenway Chapel and the Greenway Porch in St Peter's Church, and the Greenway Almshouse (1517) in Gold Street. He was a member of the Company of Merchant Adventurers of London and of the Worshipful Company of Drapers, the arms of which Companies adorn the Greenway Chapel. He is one of the Worthies of Devon of the Devonshire biographer John Prince (1643–1723).