in 1895, norrie was married to ethel lynde barbey (1873–1959). ethel was the daughter of henry isaac barbey and mary lorillard barbey, and granddaughter of tobacco magnate pierre lorillard iii. among her many siblings was hélène barbey, the wife of count von pourtalès; eva barbey, who married baron de neuflize; and pierre lorillard barbey, who married florence flower. together, they were the parents of: