In the Christmas story, the main character names include Jesus. His mother Mary and Joseph, her husband, play important roles too. Angels are also part of the story, though not exactly characters in the traditional sense but they are significant. The shepherds are characters as well. They were out in the fields when the angels announced the birth of Jesus, and they went to see the baby. The Wise Men from the East are also key characters. They followed a star to find Jesus and brought precious gifts.
In the traditional Christmas story, there is often the name Jesus as a central figure who was born as a baby. Also, there is the mention of the baby's mother Mary who was a young girl at that time.
In many Christmas stories, you'll find the name of Jesus, as Christmas is also about celebrating his birth. Then there are characters like the three wise men, also known as the Magi. They are an important part of the Nativity narrative. Another character could be Mrs. Claus, who is Santa's wife and helps him in his preparations for Christmas. There are also angel characters in some stories, like the angel Gabriel who announced the birth of Jesus to Mary. All these characters contribute to the rich tapestry of Christmas stories.
If we consider some traditional Western - themed Christmas stories, sometimes the cowboy might be named something like 'Jake' or 'Will'. These are common cowboy names that could potentially be in a story with a Christmas setting. But again, it really depends on the particular story.
The father in 'A Christmas Story' is called The Old Man. He is often shown as a bit gruff but also has his endearing moments. The mother is simply known as Mother. Their interactions and their roles in the family during the Christmas time form an important part of the story's charm. The family's experiences, with the father's preoccupation with the leg lamp and the mother's practical approach to Christmas, are what make the story so relatable.
I'm not sure which specific 'Christmas story' you are referring to. There could be various stories involving cowboys at Christmas, and without more context, it's difficult to name the cowboys.