Hector was a brave Trojan prince and warrior
who fought valiantly against the Greeks during
the epic Trojan War. He was killed by Achilles:

Hector, Arkansas

Hector, California

Hector, New York

Homer was the ancient poet and writer who gave
us the famous books called Iliad and the Odyssey:

Homer, Alaska

Homer, Georgia

Homerville, Georgia

Homer, Illinois

Homer, Indiana

Homer, Louisiana

Homer, Nebraska

Homer, New York

East Homer, New York

Homer, Ohio

Homerville, Ohio 

Hymera was the Greek personification of the Day:

Hymera, Indiana

Hesperia was the Greek goddess who personified the Evening:

Hesperia, California

Hesperus was the elusive god who personified the Evening:

Hesperus, Colorado

Irene was the ancient Greek personification of Peace:

Irene, South Dakota

Irene, Texas

Iris was the Greek goddess of the Rainbow,
and the personal messenger to goddess Hera:

Iris, South Carolina