beg vs set one’s cap for

beg

noun
  • A provincial governor under the Ottoman Empire; a bey. 

  • The act of begging; an imploring request. 

verb
  • In the phrase beg the question: to assume. 

  • To request the help of someone, often in the form of money. 

  • To plead with someone for help, a favor, etc.; to entreat. 

  • To unwillingly provoke a negative, often violent, reaction. 

  • In the phrase beg the question: to raise (a question). 

set one’s cap for

How often have the words beg and set one’s cap for occurred in a corpus of books? (source: Google Ngram Viewer )