Three people were wounded at the home.
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Some of the attendees left the party and were followed by a group in a van. Police said the people in the van shot at the car, wounding three, KHOU reported.
A seventh person was shot in the hand and went to a hospital.
None of the gunshot wounds were life-threatening, KTRK reported.
A man who lives near the house where the party was held said it's normally quiet but shootings are not that unusual in the neighborhood. He told KHOU that he found four bullet holes in his house from the weekend gunfire.