Police responded to the home on Old Broadway in Sayville after receiving a 911 call around 1:30 a.m. Sunday.
About two dozen teenagers were partying in an apartment separate from the main house, and police said many of the teens were visibly intoxicated.
The couple's daughter had invited friends over after a banquet at St. Anthony's High School in Melville.
The parents, John and Stacie Butler, both 54, were arrested and charged with endangering the welfare of a child. They were released after posting bail.
The sick girl was treated at a hospital.
The couple did not answer the door at their home Monday afternoon.