bag snatcher vs sneak thief

bag snatcher

noun
  • A thief who snatches a handbag, shoulder bag, rucksack, etc., from the person carrying it. 

sneak thief

noun
  • A thief who steals without being noticed and without using violence. 

How often have the words bag snatcher and sneak thief occurred in a corpus of books? (source: Google Ngram Viewer )