Wm. B. Greene
2d. Lieut. 7th U.S. Infy. 
Here’s the autograph of William Batchelder Greene during his first period of service in the U.S. Army, during the Second Seminole War. This was an auction find, and a pleasantly inexpensive one. The dealer informs me that he purchased this as part of a collection in the town where I’m currently living. It is truly a small world.