First define coquette. Then explain from the text why you think Katrina's parents - her raising - might have contributed to her being a coquette.
A "coquette" is a flirtatious girl. Katrina was the spoiled daughter of a rich family, and although she perhaps wasn't a bad girl (or mean), she was still used to getting her way. She was also quite pretty - one of the prettiest girls in the village of Sleepy Hollow - and enjoyed the attentions of the young men, especially Crane and Bones. It would be a natural step for a young girl, spoiled and petted by her parents, to become very flirtatious.