Sir Herbert Andrew McVeigh (8 December 1908 – 3 October 1977), known as Bertie McVeigh, was a judge in Northern Ireland.

Born in Derry, McVeigh studied at Foyle College and Queen's University Belfast and became a barrister in 1931. He became a QC in 1948, then a High Court judge in 1956, and was appointed to the Court of Appeals in 1964."Obituary: The Right Honorable Sir Andrew Herbert McVeigh", Northern Ireland Legal Quarterly, Vol.27, No.4, p.354 In 1965, he was appointed to the Privy Council of Northern Ireland., Leigh Rayment's Peerage Page

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