saddle horn vs saddlebow

saddle horn and saddlebow both are nouns.

Word	Noun	Adjective	Verb	Adverb
saddle horn	Yes	No	No	No
saddlebow	Yes	No	No	No

As nouns, saddlebow is a hypernym of saddle horn; that is, saddlebow is a word with a broader meaning than saddle horn:

saddle horn: a high pommel of a Western saddle (usually metal covered with leather)
saddlebow: handgrip formed by the raised front part of a saddle

Other hypernyms of saddle horn include pommel.

saddle horn (noun)	saddlebow (noun)
a high pommel of a Western saddle (usually metal covered with leather)	handgrip formed by the raised front part of a saddle