The girl was sleeping when the shooting occurred in the 4600 block of Dunn Avenue in East Memphis.
The girl was grazed on the leg by a bullet. She was taken to Baptist East in noncritical condition.
According to a person who lives in the home where the shooting happened, the girl is now back home.
The person said the gunman threw a Molotov cocktail at the home and started a small fire.
At least seven people were inside the home when the shooting happened.
Police said the suspects are males and were wearing hoodies.
The suspects were in a light-colored vehicle.
Police say the shooting is under investigation.
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