Here's some film of what it was like in 1947. It doesn't get as far as Exmoor, though my part of the world, Northamptonshire, gets a look in.
BRITAIN - SNOW
Author Eleanor Helme started her writing career as a golf correspondent. She always had a fondness for Exmoor, and moved there with her sister. Eleanor continued to write children's books, bible stories and nature books, many inspired by Exmoor. White Winter is the last of her Adam series, about a family and their Exmoor pony, Adam.
You can learn more about Eleanor Helme here, and see pictures of many of her books.