Your FA 9 11 rounds are the first proven lot of Ball M1911 made at Frankford Arsenal. That box is fabulous. November 1911 probably indicates that the cartridges dated 11 11 are the ones original to the box, but it is still a very early package. I guess it is not impossible that the 9 11 rounds are original to it also, but I have never heard of mixed dates in an original F.A. box, even from this very early time. The .45 1906 of course was made in that year, in June as I recall. Then a small lot of about 500 rounds of the M1906 cartridge was made on cases F. A. 6 08. This was evidently a trial requested by the Army to see if the .45 cartridge (in the case, the M1906) could be made from rejected .30-06 brass, since the head size of the two calibers is essentially identical. Only two know specimens exist, both dummies. One is in the Woodin Laboratory collection, and I am please to say I have the other one.
With all the tests and experimental versions of Colt .45 Autos leading to the M1911, I am surprised that ammunition from the era of 1960 to late 1911 is about unknown. I assume that commercial ammunition was used in them. I am not sure when Winchester made their first .45 ACP ammunition, but UMC commenced manufacture of the .45 cartridge in February 1904, with their first shipment to Colt, of only 500 rounds, sent March 13, 1905.
Of course, the M1906 round is quite different from the commercial .45 ACP of the period, but the Ball M1911 is just about identical to the cartridge developed for the Model 1905 commercial Colt auto pistol, with the earliest commercial rounds, dating from 1905, being 200 grain bullet loadings. UMC began with the 230 grain version in 1907.
You may read of a M1911 .45 round dated F. A. 1 11. Only one specimen, to my knowledge, exists with that headstamp, and while I have never seen it, it is now considered to be a case of a broken bunter from F. A. 1 14 production. I don’t know who or how many have examined that round to draw that conclusion, but it makes sense.
Note surprising at all that the Dupont Bullseye powder used was a 1910 lot.
Hope this helps a little.