In 1888, Vincent Meredith married (Isabella) Brenda Allan (1867-1959), the youngest daughter of Andrew Allan, who had then succeeded his elder brother, Sir Hugh Allan, as President of the Allan Line and the Merchant's Bank etc.
They left no children, but along with Prince Arthur, Duke of Connaught and Strathearn and George Curzon, 1st Marquess Curzon of Kedleston, Vincent Meredith was the godfather to Robert Henry Arthur Rivers-Bulkeley (1914-2007), son of Colonel Charles Rivers-Bulkeley and Annie Evelyn Pelly.