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."
Her son, Chicken Little bears a striking similarity to her in appearance. He has her eyes, eyebrows and feather color.
There is a deleted scene in which Chloe Cluck is alive. She would have also been alive in the unused summer camp story that wrote Chicken Little as a girl instead of a boy.
Her passing seems to be relatively recent, as the photograph has Chicken Little and Buck looking the same age they are in the film's present day.