In the player-owned port, the name of each unlocked ship be may customised with the Ship Name Creator. The interface is brought up by clicking on the pencil icon in the ships interface, next to the ship you wish you name. This can be done regardless of whether the ship is in port or at sea.
The interface's top toolbar shows the ship number and current name, part by part, along with three buttons. The ship being renamed can be selected by the blue-and-gold arrow buttons, which will cycle forwards or backwards through all the player's available ships. The green-and-gold "Randomise" button to the right side of this toolbar will randomise all three parts of the name simultaneously.
Each name has three parts, the prefix, the first main part, and the second main part. Each part can be chosen individually from lists of predefined words and phrases. The currently chosen part may also be randomised by clicking the lower "Randomise" button to the right of the interface. As soon as a change is made, the green "Save" and red "Revert" buttons light up and become available. Once the player is satisfied with the changes, clicking the Save button at the bottom right will save the changes, while the Revert button will erase all changes and the ship will keep its current name.
The list of available names is below, separated by part and by filter. Note that, unlike these, the in-game lists are not alphabetised.
The Drunken Clam is a reference to the Family Guy television series.
H.M.S Adamant, H.M.S Bounty, H.M.S Brave, H.M.S Challenger, H.M.S Crusader, H.M.S Dainty, H.M.S Diamond, H.M.S Diver, H.M.S Dragon, H.M.S Earl, H.M.S Earnest, H.M.S Explorer, H.M.S Fervent, H.M.S Fierce, H.M.S Fury, H.M.S Gallant, H.M.S Hope, H.M.S Hunter, H.M.S Illustrious, H.M.S Implacable, H.M.S Indomitable, H.M.S Intrepid, H.M.S Jack, H.M.S Jackdaw, H.M.S Jolly, H.M.S Lion, H.M.S Mary, H.M.S Moon, H.M.S Ocean, H.M.S Pearl, H.M.S Phoenix, H.M.S Raider, H.M.S Rainbow, H.M.S Ranger, H.M.S Raven, H.M.S Revenge, H.M.S Rose, H.M.S Ruby, H.M.S Sapphire, H.M.S Savage, H.M.S Serpent, H.M.S Shark, H.M.S Sturdy, H.M.S Swift, H.M.S Swordfish, H.M.S Terrible, H.M.S Trusty, H.M.S Wanderer, and H.M.S Warrior are or have been real names of ships or training stations of the United Kingdom's Royal Navy.
U.S.S Enterprise is a ship, specifically an aircraft carrier, of the United States Navy, and also the main ship in the first two series of the Star Trek franchise. U.S.S. Defiant is also from Star Trek, specifically Deep Space Nine.
The Black Pearl, The Misty Lady and The Barnacle are all ships from the Pirates of the Caribbean series.
H.M.S Prince, The Jackdaw, Revenge, Ranger and Princess are all ships from Assassins Creed 4: Black Flag.
Red Dwarf is the name of a mining ship from the series Red Dwarf.
Serenity may be a reference to the popular show Firefly.
H.M.S. Thunder Child is a reference to the valiant H.M.S Thunderchild of H.G. Well's novel, The War of the Worlds.
The Rainbow Warrior is the name of several Green Peace ships. The first was bombed by the French while at port in New Zealand.
The Golden Hind is a galleon which circumnavigated the globe captained by Sir Francis Drake.
Weeping Angel and Nightmare Child are both references to the Doctor Who television series.
The Dawn Treader is the name of the ship in the Chronicles of Narnia book The Voyage of the Dawn Treader.