Old North State vs Tar Heel State

Old North State and Tar Heel State both are nouns.

Word	Noun	Adjective	Verb	Adverb
Old North State	Yes	No	No	No
Tar Heel State	Yes	No	No	No

As nouns, Old North State and Tar Heel State are synonyms defined as:

Old North State and Tar Heel State: a state in southeastern United States; one of the original 13 colonies

Other synonyms of Old North State include N.C., NC, North Carolina.

Old North State (noun)	Tar Heel State (noun)
a state in southeastern United States; one of the original 13 colonies	a state in southeastern United States; one of the original 13 colonies