Well, if we're talking about the popular Christmas story 'A Christmas Carol', there isn't really a prominent dog with a named role. However, in some other Christmas tales, like the ones where Santa has reindeer, Rudolph is often the focus, but he's not a dog. In the case of 'How the Grinch Stole Christmas', the dog named Max is quite well - known. Max is the Grinch's loyal dog who accompanies him on his adventures, even when the Grinch is up to no good like trying to steal Christmas from the Whos in Whoville. Max is often depicted as a small, cute dog with antlers on his head when the Grinch makes him pull the sled.
There are many Christmas stories, but one of the well - known ones with a named dog is 'How the Grinch Stole Christmas' where the dog is called Max. Max is an interesting character in the story. He is kind of stuck with the Grinch, who is a rather unpleasant character at the start. But Max goes along with the Grinch's crazy plan to steal Christmas from the Whos. He is small and has to pull the sled that the Grinch rides in. His loyalty to the Grinch, even though the Grinch isn't very nice, makes him a memorable part of the story. It's also cute how he is sometimes made to look with antlers on his head, which gives him a really unique and comical appearance in the story.
You can choose a name based on Christmas colors. For example, Red or Green. Red could be for a dog with a red collar or a reddish - brown coat. Green might be suitable if the dog is often around a Christmas tree or if it has green - eyed.
In the absence of more context, it's difficult to determine the dog's name. There are numerous Christmas tales, and while some might feature a dog getting into turkey - related mischief, without knowing the exact one, we can't name the dog.
Maybe it's Fido. But without knowing the exact story, it's hard to say for sure. Some stories might give the dog a human-like name or a name related to Christmas.