Hi Dave...these tang markings denoted either the producer .... OR..... the sub contractor who provided blade blanks to producers.

In your First photo CAH / Carl August Hartkopf foundry

listed producers with CAH tang marking

Gebr Berns
Cark Eickhorn ( SA SS NPEA )
Hammesfahr & Cie
Gottlieb Hammesfahr
Robert Klaas
Gustav Spitzer
Carl Zander

Although there is no documentation on the identity of A series numerals ..it has been documented that what other producers had been observed having these A series numbers within a circle.

It has been observed that A22 was produced for Jacobs
also to note that Eickhorn used A23 and a few other non A series markings.

This is another way to at least seeking a possible identity of a producer who either produced their own blades or at least pointed in the direction of those producers who are observed to have used these markings.

Regards Larry