Unfortunately, the Tamagotchi Friends doesn't have a naming option on the device itself.
With that being said, this doesn't mean you aren't allowed to name him at all! If you still want to give your newly-hatched Tamagotchi a name, then go for it! Although his name won't appear on the screen...
This cat-like, glowing critter that you found looks like one of the Spöka night lights from Ikea. I don't think these lights have any Tamagotchi-related functions, but they're still pretty cute! ^_^
They come in two different styles: tall with blue ears (like the one in the photo), and short...