saddle horn vs pommel

saddle horn and pommel both are nouns.

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

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

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

Other hypernyms of saddle horn include saddlebow.

saddle horn (noun)	pommel (noun)
a high pommel of a Western saddle (usually metal covered with leather)	handgrip formed by the raised front part of a saddle
	an ornament in the shape of a ball on the hilt of a sword or dagger
	a handgrip that a gymnast uses when performing exercises on a pommel horse

saddle horn (verb)	pommel (verb)
	strike, usually with the fist