Gayland shared this ad. It has no engine and the seller had begun converting it to 4WD. Looks to be 56337 10588 (I have DJ-3A #10538).
https://houston.craigslist.org/cto/d/1956-dj-3a-jeep-roller-no/6732338028.html
“For sale is a rust free 1956 DJ-3A. This vehicle was a barn find. I had the only rust spots repaired already. I am open to offers on this Jeep, their are many additional parts / extra parts that come with this jeep.
Frame is straight. I have slowly been buying new parts for this. I have a new front bumper and some other parts. The rims are correct for this jeep, the tires are just old tires to move it around.
I have the hood, windshield, fenders, grill, extra hubs, brakes, tire carrier, and most of the interior. No motor, tranny, or t-case but I know where you can get them in the area. Jeep was originally a 2wd. I have the correct axles to make this a 4wd.”
Dave is correct, the serial number is 56337 10588, a very early 1956 model. In rough shape now.