ddp59 easily takes the prize. I certainly cannot name each of the vessels, but I'll take the count of 16 as gospel since it is noted on the Churchill's official navy website.
The Winnie is also the source of a few other trivia tidbits - the only American warship with a foreign national assigned to the crew and the only one to officially fly a foreign ensign. Of course, it was one of these Royal Navy exchange officers who got throttled by her infamously indelicate lady skipper when she thought he'd run aground leaving port. Turns out she ordered an acceleration outside the official tolerances (apparently over the objections of the crew) and broke the screw...
Bondo - your objection is duly noted but denied. Certainly John H. and big Ben both ceased to be foreign nationals when they invented our country.
ddp59 - over to you...