The front sight is obviously something that someone through on recently and never shot it afterwards because at 25 yards it's 1.5 feet high.
In the picture below I finally figured out what was going on and aimed very low. There was a 1/16" wooden shim under the rear sight so I removed it. The sight didn't appear to move much but I fired it again anyways. The top two holes are with the shim, the bottom two without. I am utterly amazed that this thing can shoot that straight given the condition of the bore.
I'll try a 1/2" front sight and lower the rear as much as possible and try it again. It looks like there's hope yet for this ol' girl.