I couldn't even begin to tell you what the names of any of mine are - on open or test. I'm pretty sure a couple of em have Crimson in the name though. I tend to just want to be done with the whole process of buying/name a new ship and hit random name.
Sailing is my least favorite part of the game, perhaps that's why I don't care too much what the ship is called. What a worthless pirate I am, I prefer the cannons over sailing any day.
The option of custom names would be nice but of course, that would have to go through Disney's filtering process and we all know how long it takes for name/guild approvals already. Can you imagine adding custom ship names too?