I remember my first lesson with my second violin teacher a few years ago. She walked into the room and asked "does it have a name?" while I was tuning up. I had no idea what she was asking, but she thought that every instrument should have a name. I still haven't named my violin, and I've never named my instruments.... not my pianos, and not all the other 5 violins I had. And definitely not my plastic recorder.
I do, however, have crazy band and orchestra friends... my one friend named her oboe 'Obedia,' and her trombone 'Sir Dingleton,' and my bassoon friend named his 'Brigadeur.' They treat their instruments like people and like to talk to them, make people apologise for treating them like the inanimate objects that they are, etc.
So... have you ever named your instruments?