It happened at an apartment complex in the 6700 block of Montgomery Drive in northeast Bexar County.
Deputies said the shooting and fight started over a stolen vehicle. Deputies said there was an exchange of gunfire between two groups of people.
When paramedics got to the location, they found two people with non life-threatening gunshot wounds. Paramedics also found a woman who had been run over by her own car after someone stole it and drove away.
Investigators said three others may have also been shot and then driven to the hospital before deputies got there.