Fiat Chrylser Automobiles has kept on file the “build cards” for most of automobiles Chrysler Corporation built in the US from 1930 through 1967. These are available from:
Fiat Chrylser Automobiles
12501 Chrysler Freeway
Detroit, MI 48288 USA
Fees vary depending on if decoding is available, see the Fiat Chrylser Automobiles web page for details.
They will, of course, need your car's serial number. For most of the 1930s, the serial number is found on the front passenger door post. The engine number (on the block above/behind the generator) and the body number (on the firewall) are all different from the serial number. The build card shows what the original engine number and body number were.
It took about three weeks for delivery of the build card for my car.