pommel vs saddle horn

pommel and saddle horn both are nouns.

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

As nouns, saddle horn is a hyponym of pommel; that is, saddle horn is a word with a more specific, narrower meaning than pommel:

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

Other hyponyms of pommel include horn.

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

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