The "Roll of Fredrick Guiger's Company of Mounted Riflemen, of the Kentucky Militia, from October 23 to November 18, 1811" lists Springer Augustus as a private. From this date information, the Second one appears to be the best candidate as the first died Nov 11, 1811. The second got married in 1812. So he would have to be the one.
But I have information on the first two on your list, but not the third. But this may clear up some confusion that I had in my records, that is, that there are 2 named Springer. I just assumed that such a strange name would only occur once, maybe twice (father-> son).