I'm new at this so please bare with me on the lack of terms knowledge.
The crown over B is on the top of the barrel about 2 inches back. This part of the barrel is flat. The markings are so small that I can barely see them. The B is directly centered under the crown...there is no # or evidence to have been one.

No name on the bottom of the barrel. I did look up Birmingham barrel proof marks awhile back and found the more modern markings and location seem to fit a contracted maker for them. I don't know...as I said I am very new at this.

And thanks for the info on the sight markings.

You folks are great.

Your Obedient Servant &etc.
Randy