It's certainly easy enough to rename an object... it's done pretty routinely for things like quest rewards, and there are abilities in the game which let select players rename (other types of) objects already. I'll add it to my mental list of perks for well-roleplayed APs.

I agree with Zulgh that based on our prior experiments with player-customizable name-type functions (warcry being one), we're somewhat hesitant to add abilities of that sort as standard class skills. Largely the same reason we don't allow self-titling. Optionally, we could put it, with the caveat that if you name it something stupid, we beat you with a sack of quarters. Or use an approval mechanism, TBD. Etc.

Note to self: Check warcries for stupid crap more often.