I'm not sure which specific 'Burglar Bill' story you are referring to. There could be many fictional or even real - life accounts named that. Maybe it's about a burglar named Bill who has a series of adventures while stealing things from different places. Without more context, it's hard to tell the full story.
In many Christmas stories, there could be different burglars. However, without more specific information about which 'Christmas story' you're referring to, it's hard to determine exactly who the burglar was.
Once upon a time, there was a burglar named Jack. He had a special ability to become invisible at night. One moonlit night, he targeted a grand mansion. As he entered the house, he was amazed by the glittering jewels and gold. But suddenly, he heard a strange noise. He froze in fear. It turned out to be just a cat. Jack quickly grabbed some jewels and made his escape, vanishing into the night.
In a far - away village, there was a legend of a 'wife burglar'. This burglar didn't steal in the traditional sense. One married woman, Jane, heard strange noises at night. The next morning, she found that all her old photo albums had been beautifully organized. The 'burglar' continued his strange deeds. Jane decided to stay up one night and saw a figure. It was an old man who had lost his own wife. He just wanted to do nice things for other wives as a way to remember the love he once had.
There was a rather interesting burglar story. A burglar thought he had found the perfect house to rob. It was an old house on the outskirts of town. He managed to pick the lock and enter. Inside, he was shocked to find that the house was filled with old antiques, but also with some very strange and spooky things. As he explored further, he heard a creaking noise that he thought was the wind at first. But then he saw a figure in the corner. It was actually the owner who had set up a fake ghost to scare burglars away. The burglar was so frightened that he ran out without taking anything.
A good burglar story often has an element of surprise. For example, the burglar might think they are getting away with the crime but then something unexpected happens, like they run into a security system they didn't anticipate. Also, if the burglar has some unique quirks or methods, it can make the story more interesting. Say, a burglar who always leaves a calling card at the scene in a very strange way.