Harry Allwright was a 19th-century Member of Parliament in Canterbury, New Zealand. A painter and glazier by trade, he came out with his parents and siblings in the Cressy in 1850, one of the First Four Ships. He took over his father's company in 1859 and became involved in local politics. He first became Mayor of Lyttelton in 1870 and was re-elected seven times. In the 1879 New Zealand general election, he defeated the incumbent and represented the Lyttelton electorate for three parliamentary terms until his own defeat in 1887. He died in 1892 and was survived by his wife; there were no children.

Cressy was one of the "First Four Ships" in 1850 to carry emigrants from England to the new colony of Canterbury in New Zealand. Cressy was the last to arrive on 27 December.