Valenciennes vs pillow lace

Valenciennes and pillow lace both are nouns.

Word	Noun	Adjective	Verb	Adverb
Valenciennes	Yes	No	No	No
pillow lace	Yes	No	No	No

As nouns, pillow lace is a hypernym of Valenciennes; that is, pillow lace is a word with a broader meaning than Valenciennes:

Valenciennes: a type of bobbin lace with floral patterns
pillow lace: a handmade lace worked on a pillow with threads wound on bobbins; the pattern is marked out on the pillow by pins

Other hypernyms of Valenciennes include bobbin lace.

Valenciennes (noun)	pillow lace (noun)
a type of bobbin lace with floral patterns	a handmade lace worked on a pillow with threads wound on bobbins; the pattern is marked out on the pillow by pins
a town in northeastern France long noted for its lace industry