This is quite a nice idea, but I really think that we could be creative enough to come up with names for our own pets.
Maybe, instead of asking the Mods to come up with a random generator, someone could set up a thread and post suggestions that have been sent to them by other site members via pm.
I mean, if everyone just posted a simple list of names, eg:
Then the recipient could just copy and paste them into the 1st page of the thread and everyone could access the names.
All the thread owner need do, is update the thread as new names are delivered via pm!
We could even do variations for each pet/season/event, etc?
We could even split responsibility for certain sections?