Yes, Rick, you nailed it.
"Jumping Billy" was the Sailing Master of the Constitution under Captains Nicholson, Talbot and Preble and when Isaac Hull was a lieutenant. He was in charge of the vessel for a time when it was laid up in ordinary and he indeed was the Navy Yard officer assigned to the overhaul of the Constitution. I bet he was a real character in order to earn such a nickname.
And, yes he would have been helpful on the discussion of the rigging of the Constitution as it was probably he who rigged it. I can only second your comments on Dr. Tilley. You have said it so well!
Now Rick, What is your question?