 From 1919 to 1923 he served again as Schenectady's Mayor.He was a Delegate to the Democratic National Conventions in 1920, 1924, 1928, 1932, and 1936.Lunn was Lieutenant Governor of New York from 1923 to 1924, elected on the Democratic ticket in 1922, but defeated for re-election in 1924, even as Democratic Governor Alfred E. Smith was winning reelection.