Bob, my old '41 Tudor had that transmission (but it had a hole in the dashboard for a 3 on the tree), and I finally got used to gently holding it in second after 6 months or so of driving it on weekends around town. Driving my daily driver car a while later, a guy in my car asked me why I was holding it in 3rd gear (it was a Chevy 4 speed), and it took me the rest of the time we were in the car to explain it to him as a habit from my other car.
That '41 Ford has a story of its own. After spending an afternoon getting the old tube radio to work, I asked my wife to come for a ride. My wife hopped in the old car it cranked up just right, I turned on the radio and away we went. Just as we were leaving our street to get on the big thoroughfare (our neighborhood was built in the 1920s), the radio warmed up its old tubes and began to play "Boogie Woogie Bugle Boy of Company B", the Bette Midler version, and we just about had a wreck. At the time (1973), The Andrews Sisters were still alive and had made a big thing of celebrating Bette Midler bringing it back after all those years, the song was all over the radio, so it really wasn't all that crazy to have it come on, but my wife and I just sat there for a few minutes laughing about the first song that the car played for us was from the same year as the car itself.