emblem vs spread eagle

emblem and spread eagle both are nouns.

Word	Noun	Adjective	Verb	Adverb
emblem	Yes	No	No	No
spread eagle	Yes	No	No	No

As nouns, spread eagle is a hyponym of emblem; that is, spread eagle is a word with a more specific, narrower meaning than emblem:

emblem: a visible symbol representing an abstract idea
spread eagle: an emblem (an eagle with wings and legs spread) on the obverse of the Great Seal of the United States

emblem (noun)	spread eagle (noun)
special design or visual object representing a quality, type, group, etc.	a skating figure executed with the skates heel to heel in a straight line
a visible symbol representing an abstract idea	an emblem (an eagle with wings and legs spread) on the obverse of the Great Seal of the United States