bough vs tree branch

bough and tree branch both are nouns.

Word	Noun	Adjective	Verb	Adverb
bough	Yes	No	No	No
tree branch	Yes	No	No	No

As nouns, tree branch is a hypernym of bough; that is, tree branch is a word with a broader meaning than bough:

bough: any of the larger branches of a tree
tree branch: any of the main branches arising from the trunk or a bough of a tree

Other hypernyms of bough include limb.

bough (noun)	tree branch (noun)
any of the larger branches of a tree	any of the main branches arising from the trunk or a bough of a tree