I don't have an old Armstrong catalogue to check, but I did check an old Bonney catalogue from 1947.
Several different tool manufacturers used a standardized numbering system for the styles of wrench, and the Armstrong numbers on those match up with the Bonney numbers.
Presuming that Armstrong and Bonney produced the same wrenches in the same sizes, there should be an Armstrong number 401A wrench in a 7/16" size, an Armstrong number 403 wrench in a 9/16" size, and an Armstrong number 405 wrench in an 11/16" size.
The Bonney catalogue I checked didn't list a number 406 wrench, so it's possible there are other larger sizes Armstrong may have manufactured that Bonney didn't. The regular 420 series double open end tappet wrenches manufactured by Bonney, were also available with 3/4", 13/16", 7/8", 15/16", and 1" open ends. If the numbering of the 400 series tappet wrenches stayed consistent, then 13/16" would be 407, 7/8" would be 408, 15/16" would be 409, and 1" would be 410.
I just did a quick search thru ebay and found a number 408 Bonney, so I presume a 407 and 408 Armstrong might exist.