woodwork vs woodworking

woodwork and woodworking both are nouns.

Word	Noun	Adjective	Verb	Adverb
woodwork	Yes	No	No	No
woodworking	Yes	No	No	No

As nouns, woodwork and woodworking are synonyms defined as:

woodwork and woodworking: the craft of a carpenter: making things out of wood

Other synonyms of woodwork include carpentry.

woodwork (noun)	woodworking (noun)
the craft of a carpenter: making things out of wood	the craft of a carpenter: making things out of wood
work made of wood; especially moldings or stairways or furniture