"The Martian Chronicles" by Ray Bradbury

Ylla, a martian woman, has dreams of an Earth man, with black hair and blue eyes, coming to her and speaking to her. Yll becomes angry and jealous and "goes hunting" one day. Ylla was tricked into staying home. She heard a shot in the distance; Nathaniel York is not seen again.
That Fall, many Martians begin to hum songs from Earth, the children chant Earth rhymes, and have strange dreams. The next morning four men from Earth visit Mars. They are ignored and considered "beautifully insane", and eventually killed by Mr. Xxx when the Martians assumed their ship and crew members were hallucinations.
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