The Boeing Dreamliner crashed in a residential neighborhood moments after takeoff from the city of Ahmedabad on Thursday.
The flight was headed to London.
Officials said 241 people on board the plane and at least five people on the ground were killed.
Afia Taju, who lives in the Chicago area, told ABC7 her mother, father and brother-in-law were among the victims.
In a statement, she said in part, "It is with unimaginable sorrow and broken hearts that we confirm the tragic loss of three beloved members of our family."
The Associated Press contributed to this report.