My current ship is just the U.S.S. Travis cause there isn't enough room for "William B. Travis". I'm very much proud of my Texas heritage, and being from San Antonio I have a lot of Texas history basically in my backyard. So a lot of my ships are named for famous figures and/or locations in Texas history.
I also have a couple named for U.S. generals, moons and other science-y stuff for the science vessels, and 3 escorts named after 3 of the 5 stealth aircraft used by the U.S. Air Force (Lancer, Nighthawk, and Raptor).
my first ship in game was uss derilict(because was pretty well un maned when i was giving command.
present ship is uss Hornet, cause painted it green and was a commercial on for green hornet while i was painting it.
My Engineering Officer has all his ships named after Feudal Japanese clans. My Science Officer has her ships named after Greek mythological figures. Both their shuttles, runabouts, and Delta Flyer are named after various cities in Germany.
Long Range Science Vessel - USS Johannes Kepler (scientist who discovered laws of planetary motion)
Assault Cruiser - USS Galahad (one of the knights of the round table)
Star Cruiser - USS Iron Duke (nickname of the Arthur Wellesley, 1st Duke of Wellington)
Advanced Escort (and all the other escorts prior) - USS Britannia (just a cool, slightly patriotic name, ancient personification of Britain)
All cruiser ships named Bozeman, after Bozeman, Montana and the ship from the TNG classic "Cause & Effect."
U.S.S. Bozeman - Miranda Class light cruiser
U.S.S. Bozeman A - Constitution Class cruiser
U.S.S. Bozeman B - Excelsior Class heavy cruiser
U.S.S. Bozeman C - Excelsior Calss Retrofit
U.S.S. Bozeman D - Galaxy Class Refit
U.S.S. Bozeman DX - Galaxy Class X Refit
U.S.S. Bozeman E - Sovereign Class assault cruiser
U.S.S. Bozeman F - Vanguard Class star cruiser