A Savannah woman was charged with aggravated assault Monday after shooting and wounding her 11-year-old daughter as she slept in bed, police said.

Mary Elizabeth Frazier, 35, was being held in the Chatham County jail. Her daughter, Diamond Frazier, was being treated at a local hospital. Police said the girl was in critical but stable condition Monday afternoon.

Savannah-Chatham County Police spokeswoman Judy Pal said investigators do not believe the shooting was an accident, though she declined to give a suspected motive.

"We believe that she purposely shot her daughter," Pal said. "We have information from family members and from doctors that she has a a history of mental illness."

The mother and daughter were the only people in their home, a duplex in Edgar C. Blackshear Homes, a public housing complex in east Savannah. Police recovered a handgun inside the home, Pal said.

A neighbor called police early Monday saying she thought a burglar had been shot inside the woman's home, she said.

"I don't know if she called because she heard the gunshot or because the mother was screaming," Pal said. "But it turns out it was actually her daughter that was shot while the girl was sleeping."

Police confirmed that Frazier's 16-year-old son, Devon Frazier, died in 2007 when he drowned while swimming in the Ogeechee River.

It was not immediately known if Frazier had hired an attorney.