I do enjoy reading the ledger pages of the British gunmakers.
H&H seem to get to the point while at the same time conveying the pertinent information about the gun.

Some translation:
Log - lever over guard (meaning the underlever)
lever forepart - the "Rigby" style forend release
h. p. ring bullet - must refer to the hollow point greased bullet H&H used

One thing I don't know is the powder after the dram charge "5 drams". Looks like a 9 or could be a "B" for Black powder.
I always thought that Curtiss & Harvey's No.6 was the standard black of the day. Maybe there was a different powder used at the tail end of the BP cartridge era.