bag snatcher vs cutpurse

bag snatcher

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

cutpurse

noun
  • A thief who steals from others' purses or pockets in public. 

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