If it were the wee one, the poor thing would be named Buddy. Because, if you ask, everything is his buddy right now, lol. I will say I am eagerly awaiting his name choices for his future childhood pets when he's a bit older. He has a sense of humor, this one.
I would have such a hard time allowing someone else to name an animal in my home. Even if it was a family pet or technically the other person's pet. lol
The last attempted curly being adventure a year or so ago went horribly awry, with the person cutting all contact last minute. I'm hoping for better results this time...