Neat vehicle. If you don't know the original CFR (registration) number, they were mostly hand stamped on the top of the driver's side front frame horn (underneath about 1/4" of badly applied latex cam paint) between the bumper and the grille assy., if memory serves. Canada kept them in production through three contracts, which I think were 1953, 1968 and 1971 - with the vehicles nomenclatured M38A1CDN, M38A1CDN2 and M38A1CDN3 respectively. The CDN3 variant had a different rear axle, I think, and the modern 60A M151-style alternator vs. the old-school 25A generator with separate regulator box.
The CFR number was also usually stencilled on the outside of the jeep in the vicinity of the driver's foot, and usually on the dashboard right side above the passenger's knees in white. When they were cammed (usually with a paintbrush or roller) later on on their careers these numbers were just typically painted over, so they should be preserved. If you sand down the rear quarter panels and/or the bumperettes you should see the tacsigns of at least one unit the vehicle was assigned to. When the CDN forces went cam the tacsigns changed to the NATO standard ones you'd typically find on military maps -- prior to that they had full-colour tacsigns about 7" x 5", say...with the Formation on one side, and the individual unit on the other. The Formation sign was usually a shield that said something like "PRAIRIE COMMAND" along with a picture of a wheat-sheaf, and the tacsign indicating the unit on the other side would be something like a red square with "2 PPCLI" written above it on a white strip. These marking would be the same on the front windshield as they'd be on the rear quarter panels or bumperettes.
The downside of those vehicles up in Canada was the rust. Oh My God...the rust. Usually all the stringers underneath the floor pan beneath drivers and passengers feet are either rotted beyond redemption or simply not there entirely...seen both...plus the corners of where the fender arches reach down to the main body. Bet you'll find a few inches of bondo there in addition to the rear quarter panels.
(I have a '53 M38A1CDN at work and a couple of the later models and the 53 is by far and away the best shape of the lot. I think the metal used on the earlier contract was superior to that used in the later contracts, but that's just a guess. )