I'm not sure it is possible to rename ships... I haven't found the command yet, but I'm new to the game. If it isn't there, that would be really cool.
Also, it would be great if we could set up (or load in) thematic lists of ship names that could be used for each class. For example, I design a cruiser, I assign the lead ship to be named Cleveland, and all subsequent ships to draw sequentially (other option is random) from my "American Cities"-theme list, with an auto-prefix of "U.S.S." and a suffix of "CA " followed by a sequential number beginning with 12. The first ship is "U.S.S. Cleveland CA 12" the next one I order built is assigned the name "U.S.S. Chicago CA 13" but I have a superstition attack two weeks later, so I cancel it and start a new one, which gets named "U.S.S. Brooklyn CA 14." You could even have a summary in the "story generator" being developed that would list:
"City Cruiser Class (that's the name I used for the design):
U.S.S. Cleveland CA 12 begun March 7 2265 completed April 4th 2266, upgraded to City Cruiser+ begun January 12th 2275, ended February 1st, 2275, destroyed in battle at coordinates 34637, 23487 on May 11th 2276.
U.S.S. Chicago CA 13 Begun March 7, 2265, cancelled March 21 2265"
etc.
Just a thought,
Jon