country-dance vs country dancing

country-dance and country dancing both are nouns.

Word	Noun	Adjective	Verb	Adverb
country-dance	Yes	No	Yes	No
country dancing	Yes	No	No	No

As nouns, country-dance and country dancing are synonyms defined as:

country-dance and country dancing: a type of folk dance in which couples are arranged in sets or face one another in a line

Other synonyms of country-dance include contra danse, contradance, contredanse.

country-dance (noun)	country dancing (noun)
a type of folk dance in which couples are arranged in sets or face one another in a line	a type of folk dance in which couples are arranged in sets or face one another in a line

country-dance (verb)	country dancing (verb)
perform a contradance