I was using Hoppes for lube. I had the rifle rested on a tripod rest with a bag on top. I usually have it placed with the rest about right under the rear sight. The range I use doesn't have deep enough benches to rest the muzzle.
I'm thinking it may be recoil/clothing related. I have to mind my form in winter clothes offhand or it shoots about the same amount high at 50 when I shoot offhand, but I didn't have that issue off the bench. I guess it makes sense, though, that without the thicker winter clothes to soak up some recoil it would react more to the recoil just off my shoulder without any "padding".
I'll have to take another crack at it soon and see what I come up with.
On a side note, a guy I know through work was also at the range. I do IT work and he works for one of the contractors I hire for work beyond my internal staff's capacity. Anyway, he'd brought hard drives slated for destruction and was using his AR15 to do that job. He asked me to shoot one with the flintlock as he was curious if it would go through it. I chuckled and said, "without any problem, but if you want to see it for yourself, go ahead and put one out there."
He hung a drive on the 50-yard mark. Drives are roughly 6" tall by 3-4" wide. I caught it about an inch from the top (remember things were hitting higher than I was accustomed). That drive was sure destroyed! My rifle is a 62-cal, and I'm running a 600 ball and 120gr 2F. It made about a 1" clean hole and blew a bunch of shrapnel out the back (we picked it all up). He had a new found respect for a flintlock and round ball.