It is interesting to look at a Stahlwille chart showing min and max tolerances for each size socket or wrench opening.
45/64 will be a tight fit for 3/8 WW so I’ll do a check fit tomorrow.
23/32 would be much closer to that mark.
My Hinsdale collection seeks HW1 and HW6 to complete, looks likely to be pre WW2, here it is…

