HOWEVER, the ship ITSELF was British, because the entire crew was British!
This includes the entire band.
The ship was built in Belfast; you might get an argument about whether that makes her British.
The ship was built with American money, and operated by an American owned company. She sailed under a British flag of convenience, as many other ships sail under Liberian or Panamanian flags.
She was sunk by that British crew; I'll concede that she is a British wreck.