The original truck type 4 speed (SM420) is shorter and uses a completely different driveshaft from the 3 speed, 3 speed overdrive, and the passenger car 4 speed.
The SM319 OD transmission was available in both cars and trucks from 55 through 65. With a Saganaw version from 66-69.
Fred

1956 3100 Pickup/Red/350/3sp OD/PS/Disc Brakes
1957 Bel Air Sport Coupe/Red/355/TH350/PS/Disc Brakes
2017 Silverado LT Single Cab SB/Black/5.3/6 Speed Trans
1947 Willys CJ2A w/F-Head engine