While doing some additional research on Starr revolvers, I found an old article in "The Gun Report " Jan. 1959 by C. Meade Patterson. Remember that Ordnance contracts and Purchased of Starr revolvers only accounts for 42352 approx. The D.A. in .36 & .44 serial range from 1 to 23100 approx. He states "Starr SA percussion revolvers serial range from 23100 to 54000 approx." Info from John McAulay "Civil War Pistols of the Union" states the first 1000 delivery of S.A. Starr Were delivered Dec.19,1863. Thereafter followed by 2000 each in Jan. , Feb, & Mar. 1864. So that helps narrows down the date.
Another point in Patterson's article which might clear up some of the confusion as to D.A. Starr's being double action. It has been discussed that it was not a true D.A. as we know in today's world. He clearly agrees as he refers to it as "Self-Cocking" . I'm guessing more along the lines of a set trigger.