OK, something I've learned over the years (and which was wonderfully idealized by Diane DeMassa), pets have a given name, and then a plethora of names that are actually commonly used. This was just brought into crystal clarity for me as I called Palin over, and the exact words I used were "C'mere, Nyang-face Curlytail Purrbiscuit McSpazzmo!"
And he came over. Because he recognized it.
So... what's the discrepancy between your pets' official name(s) and what you actually tend to call them?