The coat of arms has four quarterings – 1^st and 4^th; gules, 3 cinquefoils ermine pierced of a field for Hamilton; the 2^nd and 3^rd quarterings are shared between Newburgh and Downham; Or, 3 bendlets azure within a bordure gules for Newburgh.

The arms of Downham, Bishop of Chester, are given in Bedford's "Blazon of Episcopacy" thus: Azure, on a chevron between two doves argent, beaked and legged gules, in chief, and a wolf's head erased of second in base a rose gules between two clasped books of the third, garnished or.