Name	Lifeboat from Titanic	Lifeboat to Carpathia	Confidence Level
Vigott, Mr Philip Francis	13	13	4.63

From the Morning News, May 21st, 1912, Viggott is specifically named and says:
“He, with two other seamen, was placed in charge of lifeboat No. 13 on the ill-fated night, and crossed over to England on the "Lapland."

Taking into account the placement of other men in the Deck Department, Viggott does fit the best in #13, even though we do not have an account from him in his own words.  But we cannot be 100% sure of this placement.