^ I'm not sure we're going to be able to find a "catalog reference" for this per se.
A 1953 trade journal advertisement shows a socket set (on the left on page 24) with
square corners, and way up at the upper
right (on page 25) a socket set with rounded corners (like yours.)

1952 Hardware Age New Britain Machine ad pp 24

1953 Hardware Age New Britain Machine ad pp 25
The 1948 New Britain "None Better" catalog No. A48 shows all 1/4" drive SAE socket sets in square boxes:

1948 New Britain None Better catalog No. A48 pp 15
The 1953 New Britain catalog No. 58M also shows 1/4" drive SAE socket sets as coming in square boxes on the larger sets, but note that the smaller 10-piece 1610 set appears to be in a box with rounded corners:

1953 New Britain catalog No. 58M pp 22
If a 1610 is a ten-piece set, and a 1617 is a seventeen-piece set, and a 1634 is a thirty-four piece set, it would logically follow that a 1640 would be a forty-piece set.
(The 1959 New Britain catalog No. 59M shows the same 1610 and 1617 sets, but the 1634 was downsized and appears as a thirty-three piece model 1633.)
So your box is probably around the 1953 period... but you have something of a hodge-podge of sockets there.
I may well be mistaken - correct me if I am, gentlemen - but my understanding is that the single
crosshatch band is earlier than the double
knurled band and both are earlier than the
no band design.
When I went through this on a couple sets, the closest ratchet which appeared to be period-correct to the set was the model NM43 (shown below), but I shipped that one down to 3bay in Florida.
I believe the appropriate spinner is the yellow-handled NM64. Again, I could me mistaken.
(my work sheet is attached below - *.txt format - I was trying to complete two different sets here. BK)