It looks to me as if you've got a Craftsman transition period 3/8-inch drive set, probably made in 1947 or 1948, by New Britain, as Sears & Roebuck was moving from the Long C to the so-called "Heritage" (=CRAFTSMAN=) logo era. One of your boxes has the "Heritage" badge, the other probably had a "Heritage" sticker, but your pieces - at least those that I can see - look like they have Long C markings. (I see that the ratchet is BE. Are all the other pieces also BE?) Trust me, this is not unusual. I've seen lots of transition period sets in all drive sizes and if you page through this thread you will see other examples and discussions on this topic.
A classic Long C set (late 1930's to 1947) would be in a box just like yours, same layout, but blue finish and Long C sticker type decal on the lid. The pieces would be Long C, just like yours, either BE or (H), all made by New Britain, including the Costello patent ratchet. New Britain would drop it for the Fors style ratchet that year for their own production, and effectively also marking the end of the Long C BE and (H) Craftsman era production.
A classic "Heritage" era set (1949 ->) would be in a box like yours, but it had rounded corners, and no speeder bracket, with a "Heritage" badge (=CRAFTSMAN=) riveted to the lid. Pieces would all be marked =CRAFTSMAN=. Not made by New Britain.
Transition period (1948) Craftsman sets like yours typically have Long C pieces in a gray box with "Heritage" decal or badge.
If you look at the thumbnails below, you'll see what I have described above for yourself. If you're interested in exploring it further on your own, the Tool Archives has a full set of Craftsman catalogs in its open library. Link
here. (You will need to register, but that's free.)
Pic 1 is from the 1942 Craftsman catalog. Blue box (no dimensions provided), speeder bracket, Long C decal, New Britain tools, all Long C.
Pic 2 is from the 1948 Craftsman catalog. Gray box (17-1/8" x 5" x 1-1/8"), no speeder bracket, "Heritage" decal or badge, pieces are geometric logo, not classic Long C, but not =CRAFTSMAN=, and the ratchet is still definitely New Britain made, the very end of the line for this style, which New Britain was no longer making for their own production (NB, NONE BETTER, Husky).
Pic 3 is from the 1952 Craftsman catalog. Gray box (17-1/8" x 5" x 1-1/8"), rounded corners, no speeder bracket, "Heritage" decal or badge, all =CRAFTSMAN= pieces, not made by New Britain.