Chloe Cluck is the deceased wife of Buck Cluck and the deceased mother of Chicken Little. It's unknown how or when she died since it was never mentioned at all. She is only mentioned a couple times in the film, mainly by Buck.
Role in the film
When Buck Cluck comes home from picking his son up from detention at school, she is briefly seen in a family photo, while Buck Cluck is saying "Oh, Chloe, if only you were here... you'd know what to do". Near the end of the film she was mentioned one more time by Buck when he said. "Y...Your mom, she was... You know, she was always good with stuff like this."
Trivia
Her son, Chicken Little bears a striking similarity to her in appearance. He has her eyes, eyebrows and feather color.
There was an unused animation of Chloe intended for the film making her character alive. However, it was not made in the final project making her character deceased.
She appears to have died recently, as Chicken Little and Buck look the same age they are in the film.