by and by vs eventually

by and by

adv
  • After a short time. 

  • After an indefinite period. 

noun
  • Heaven; the hereafter. Usually preceded with "the sweet." 

eventually

adv
  • In the end; at some later time, especially after a long time, a series of problems, struggles, delays or setbacks. 

  • Possibly, potentially, perhaps 

  • For some tail; for all terms beyond some term; with only finitely many exceptions. 

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