Unlike the Carson's 14K gold filled case, the Stanford has a 10K gold filled case. It also came only with an 18K AGN dial. The shape of the case is Carson-like, except the Stanford also has a step-detail on the sides where the Carson is smooth.
Under the dial you will find a 14/0 sized 17 jewel 980 movement.
I recently acquired a Stanford and I was excited to get it since I had never seen one before. As you can see in the photos below it had a serious case of dial rash from years without a crystal and it had lost it's second hand.
Fortunately the case was in really nice shape with no apparent wear through - just a few decades of grime.
I sent the dial off to be professionally refinished and while it was being redone I overhauled the movement and procured a new crystal. Once the dial came back it all came together with a nice black lizard strap and - voila! Another Hamilton saved from the junk drawer.
Just for comparison's sake, here's a photo of a 1935 Carson. Another way to tell them apart is the Carson has a rectangular frame on the dial inside the numbers, where the Stanford is plain.