I named 2 out of my 3 basses yes...
Cort Action 4: "Traveller" - since it's never at home, it's the bass I tend to loan out to people for a while, so it's gone a lot, comes back a little worse for wear, gets patched up, and ready to go on another trip.
Rockwell RB-32: "The Dirt" - since that one's hanging in the shed most of the time. It's a $85 cheapie that I got on a whim and have been using to experiment on. It's now at the frankenbass stage with bits missing, bits added, and some bits just plain out not making sense.
Cort C4H; the unnamed bass. Mostly, because it has a personality that's a bit beyond a simple name. This might sound really ridiculous but that bass is possessed or something... it's awesome though