I picked these three Williams sets up this week.

The Flaring/Pipe Cutting set (#165) is seemingly unused and complete except for the spare cutting wheel.
The two socket sets were missing a few things so I went back to the sale the next day and dug a little deeper--and came away with two more deep sockets and two more 6-pointers--one each 1/4" and 3/8" drives. Still no ratchets or drivers.
Here's where I get confused on what should be in the M-2, 1/4" set. Archive.org has a 1960 catalog with an M-2 set, but I think that is too early for a match for my set. The 1960 depicted box has only a single socket tray for the nine included sockets. My box has three separate sections, one of which is divided in two. But my box is clearly marked as M-2. This tells me they changed the composition of this set sometime after the 60's to possibly include the universal, two Phillips drivers, the 6" standard screwdriver, 2" extension, sliding T plus at least 6 each 6- and 12-point sockets. Whether they kept the spinner handle and/or the rib joint pliers, I have no idea.
However, I'm virtually certain the set shouldn't include any 3/8" drive sockets--yet three were in the box and I found a fourth the next day. No big deal--extras are always welcome, but I would like to know what actually came in this set.

The 1/4" sockets I have are:
6-point:
M-606; M-607; M-608, M-609; M-611; M-614--am I missing 10, 12, and 13 or do I have extras?
12-point:
M-1210; M-1211; M-1212; M-1214; M-1216; M-1218--again, do I have extras or am I missing some?
As for the deep socket set, the box has a sticker on the side "Metal Case TT-4" and I have sockets BD-1212; BD-1216; BD-1222; BD-1224, BD-1226, and BD-1228.
I figure I'm missing BD-1214; 1218; and 1220.
I think these boxes are no older than the '70s and possibly newer than that. Any help identifying the era and proper contents would be greatly appreciated!