Usually they're dogs sharing my name - there's a Lucy Dog at FCAC right now, of course. (At least they tend to be large, fluffish dogs of dubious parentage, my favorite kind.)
MPB has a cat named Lucy, sigh.
And now, I've broken into a new realm : bunnydom!
She's clearly unamused by her current situation, so why don't you pop on over to the Forsyth County Animal Shelter and make her day by offering her a position at your house?
Be a hero -- adopt a Lucy today!