Shorbonia Poole Jr., 19, was previously charged with unlawful possession of a weapon.
A judge approved additional charges against him, including felony murder, the Lake County State's Attorney's Office said.
Valeria Rodriguez was eating dinner in her home in the 1500-block of Cherokee Drive.last month when she was hit by a stray bullet.
RELATED: 15-year-old girl killed by stray bullet in Round Lake Beach shooting identified
Police said it did not appear that the girl was targeted in the shooting.
"Our office continues to express our deep condolences and sympathies to the family of Valeria Rodriguez over their unimaginable loss. Our victim specialists have been working closely with the family since this crime occurred," Lake County State's Attorney Eric Rinehart said.