In LWW, the first two times Lucy entered into the wardrobe, it was raining in England as an excuse for them to explore the house. However, it was also an interesting way to set the mood of being stuck inside a large mysterious house.
However, in Narnia, when Lucy first enters, it was a snowy night while she was led to the lantern by its light. When we follow Edmund in his first visit, it was a sunny morning. When the others go in, it was a cloudy day that threatened snow.
Interestingly, it was never stated that Lucy was cold in her first visit. Edmund was stated to be cold in his first visit, but Susan decided to use the coats to prevent them from getting cold.
MrBob