drag someone's name through the mire vs stain

drag someone's name through the mire

stain

noun
  • A reagent or dye used to stain microscope specimens so as to make some structures visible. 

  • A discoloured spot or area. 

  • Any of a number of non-standard tinctures used in modern heraldry. 

  • A blemish on one's character or reputation. 

  • A substance used to soak into a surface and colour it. 

verb
  • To cause to seem inferior or soiled by comparison. 

  • To coat a surface with a stain 

  • To treat (a microscopic specimen) with a dye, especially one that dyes specific features 

  • To taint or tarnish someone's character or reputation 

  • To discolour. 

  • To become stained; to take a stain. 

How often have the words drag someone's name through the mire and stain occurred in a corpus of books? (source: Google Ngram Viewer )