The phrase "of the American Revolution" will virtually always be an adjective phrase, following nouns such as "the start" or "the decisive point" or "an important battle." The preposition "of" does not typically form adverbial phrases.
An American boxer named Norman Selby (1873-1940) adopted "Kid McCoy" as his professional name and used the phrase "The Real McCoy" to distinguish himself from another fighter named "McCoy." Although not certain, this appears to be the origin of the phrase, which expanded into American English to mean "the genuine article."
rude institutions
The Constitution does not contain the phrase. It originated from the Declaration of Independence-- written well before the U.S. Constitution, but not included in the Constitution.
The phrase "cast down your bucket" came from a historic speech by Booker T. Washington in 1895. This was a call for African Americans to accept their current situations with the Industrial Revolution and look for the opportunities they could make for themselves.
"The Real McCoy" The most famous quote is not by Elijah McCoy, but rather about him. The coined phrase "The Real McCoy" is derived from Elijah, who was a famous American inventor.
adjective phrase
The Battle of Bunker Hill was the first major battle OF THE AMERICAN REVOLUTION an adverb phrase!
If the phrase describes (modifies) a noun or pronoun, it's an adjective phrase. If the phrase describes a verb, adjective, or adverb, it's an adverb phrase.
adverb phrase
Adverb Phrase
an adjective phrase acts like an adjective and modifies the noun or pronoun in the sentence. an adverb phrase acts like an adverb and modifies the verb, adjective, or adverb in the sentence.
It is an adverb phrase (tells where).
adverb
adverb phrase
adverb phrase
It is an adverb phrase, although in forms such as "The period after a supernova is marked by stellar collapse" it seems to be an adjective phrase.
This is a sentence (or clause), not a phrase. The adjective is dumb, and the adverb is very, modifying dumb. So "very dumb" is the adjective phrase.