by one's lonesome vs under one's own steam

by one's lonesome

under one's own steam

prep
  • At one's own initiative; of one's own accord, unbidden, unprompted. 

  • Using one's own resources; independently, unaided. 

  • Of the movement of a locomotive or a watercraft: by means of the power of its own engines (originally steam engines), rather than pulled or pushed by another vehicle. 

How often have the words by one's lonesome and under one's own steam occurred in a corpus of books? (source: Google Ngram Viewer )