Is It Phibbs or Phipps? Ice Mound in Maryland? James or Taylors Island

I have seen that the HMS Dauntless' tender was commanded by a Lt. Matthew Phibbs, Royal Navy.  But the cannon captured from the tender is called the "Becky Phipps" and named for the black cook, Becca, and the tender's commander.

Also, not only do I not think of ice on the Chesapeake Bay, but definitely not an ice mound.

Also, some accounts refer to a James Island and others to a Taylors Island where the re-enactment took place.

So, What happened?  --Brock-Perry