Name	Lifeboat from Titanic	Lifeboat to Carpathia	Confidence Level
Beesley, Mr Lawrence	13	13	5.00

In his book The Loss of the S.S. Titanic: Its Story and Its Lessons By One Of The Survivors, Mr Beesley writes:
  "Almost immediately after this, I heard a cry from below of, "Any more ladies?" and looking over the edge of the deck, saw boat 13 swinging level with the rail of B deck, with the crew, some stokers, a few men passengers and the rest ladies,—the latter being about half the total number; the boat was almost full and just about to be lowered. The call for ladies was repeated twice again, but apparently there were none to be found. Just then one of the crew looked up and saw me looking over. "Any ladies on your deck?" he said. "No," I replied. "Then you had better jump." I sat on the edge of the deck with my feet over, threw the dressing-gown (which I had carried on my arm all of the time) into the boat, dropped, and fell in the boat near the stern."

    "Thinking over what followed, I imagine we must have touched the water with the condenser stream at our bows, and not in the middle as I thought at one time: at any rate, the resultant of these three forces was that we were carried parallel to the ship, directly under the place where boat 15 would drop from her davits into the sea. Looking up we saw her already coming down rapidly from B deck: she must have filled almost immediately after ours. We shouted up, "Stop lowering 14," [Footnote: In an account which appeared in the newspapers of April 19 I have described this boat as 14, not knowing they were numbered alternately.] and the crew and passengers in the boat above, hearing us shout and seeing our position immediately below them, shouted the same to the sailors on the boat deck; but apparently they did not hear, for she dropped down foot by foot,—twenty feet, fifteen, ten,—and a stoker and I in the bows reached up and touched her bottom swinging above our heads, trying to push away our boat from under her. It seemed now as if nothing could prevent her dropping on us, but at this moment another stoker sprang with his knife to the ropes that still held us and I heard him shout, "One! Two!" as he cut them through. The next moment we had swung away from underneath 15, and were clear of her as she dropped into the water in the space we had just before occupied. I do not know how the bow ropes were freed, but imagine that they were cut in the same way, for we were washed clear of the Titanic at once by the force of the stream and floated away as the oars were got out."

Beesley's description of what happened in his lifeboat perfectly matches what we know happened in #13.