Not 357 boxes, but 4 Early to mid 1930 boxes of high speed loads for law enforcement for use in heavy frame Special handguns such as the Outdoorsman and the Heavy Duty.
The Western "Super Police" 200 grain Lubaloy bullet is pretty hard to find. This box is probably the earliest loading as you can see on the upper left corner of the back it refers to W.C.Co.
The Remington "Dogbone" box of "38-44 S&W Special" was of course expressly loaded beginning in the early 1930's for the Outdoorsman and the Heavy Duty.
As described by Jim(SRT)on the Early 357 Ammo thread, the Peters Highway Patrol in these boxes with Kings Mills address date from at least as early as the mid 1930's.
The Remington green and red Kleanbore box is a post WWII box for most loadings. However, like Bob (Merlindrb) said earlier in this thread, there are exceptions for many calibers including possibly this Highspeed loading. I know Remington produced the 38 Super "Mushroom" bullet loading in this box in the 1930's.
As shown below, all 4 loadings are with small primers.
Here are pictures of the ends, sides and backs of the 4 boxes.
