purse string vs drawing string

purse string and drawing string both are nouns.

Word	Noun	Adjective	Verb	Adverb
purse string	Yes	No	No	No
drawing string	Yes	No	No	No

As nouns, drawing string is a hypernym of purse string; that is, drawing string is a word with a broader meaning than purse string:

purse string: a drawstring used to close the mouth of a purse
drawing string: a tie consisting of a cord that goes through a seam around an opening

Other hypernyms of purse string include drawstring, string.

purse string (noun)	drawing string (noun)
a drawstring used to close the mouth of a purse	a tie consisting of a cord that goes through a seam around an opening