adverbial participle vs verbal noun

adverbial participle

noun
  • A participle that modifies a verb in same sentence and which is equivalent to an adverbial clause in English. Adverbial participles may denote time, condition, cause, concession, manner, means, purpose, or attendant circumstance. 

verbal noun

noun
  • A noun that is morphologically related to a verb and similar to it in meaning; in English, it contrasts with the gerund and the deverbal noun. 

How often have the words adverbial participle and verbal noun occurred in a corpus of books? (source: Google Ngram Viewer )