FredC wrote on Apr 18^th, 2019 at 11:01pm:

Parashooter, You got me again, looked it up on wiki and I should have said M1903. Some of the early design and testing was done in 1900 of models that led up to the M1903.

I figured you were referring to the early 1903.  I suspected that in saying 03-A3, you were actually referring to 30-03, which was the first (failed) cartridge fielded for the very early 1903 Springfields. 

FWIW, I find all of this simply fascinating!  If only we could find that Way-Back machine and take a field trip back in time to when the Krags were new!