wooden spoon vs woodenware

wooden spoon and woodenware both are nouns.

Word	Noun	Adjective	Verb	Adverb
wooden spoon	Yes	No	No	No
woodenware	Yes	No	No	No

As nouns, woodenware is a hypernym of wooden spoon; that is, woodenware is a word with a broader meaning than wooden spoon:

Other hypernyms of wooden spoon include spoon.

wooden spoon (noun)	woodenware (noun)
a spoon made of wood	ware for domestic use made of wood
a booby prize consisting of a spoon made of wood