on high vs overhead

on high

prep
  • To a high position; or up in, or to, the sky; above. 

  • In authority, influence, or power. 

  • Up in, or to, Heaven. 

overhead

adj
  • kicked over one's own head 

  • located above, especially over the head 

adv
  • Above one's head; in the sky. 

noun
  • Data or steps of computation used only to facilitate the computations in the system and not directly related to the actual program code or data being processed. 

  • Any cost or expenditure (monetary, time, effort or otherwise) incurred in a project or activity, which does not directly contribute to its progress or outcome. 

  • Wasted money. 

  • An overhead projector. 

  • A sheet of transparent material with an image used with an overhead projector; an overhead transparency. 

  • The expense of a business not directly assigned to goods or services provided. 

  • The items or classes of expense not directly assigned to goods or services provided. 

  • The ceiling of any enclosed space below decks in a vessel. 

  • The system of overhead wires used to power electric transport, such as streetcars, trains, or buses. 

  • A compartment above the seats for stowing luggage in a passenger aircraft. 

  • An overhead throw. 

  • A smash. 

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