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Yes - the coat of arms is recorded in Burke's Peerage & Baronetage, the 1999 edition of which is available to borrow for free on archive.org and includes the description of the Chadwyck-Healey arms. As MAGolding suggested in a comment, they consist of the Chadwyck coat of arms quartered with the Healey arms.
Arms: 1st and 4th, gules four fusils engrailed and conjoined in bend ermine between two lilies leaved and slipped proper (for HEALEY); 2nd and 3rd, gules an anchor cabled within an orle argent, charged with eight martlets of the field (for CHADWYCK). Crests: 1 In front of four fusils engrailed and conjoined fesswise ermine a lily, as in the arms (for HEALEY), 2 A talbot's head couped gules, charged on the neck with an escutcheon argent, thereon a martlet as in the arms (for CHADWYCK). Motto: Crede mihi ('Believe in me'). Creation: Bt. (UK) 6 May 1919.