Pittsburg police officers say Taggart shot 18-year-old Mitchell Owens in the hip during an altercation over stolen property.
19-year-old John Carver and 24-year-old Stephen Dibble are also in custody in connection to the case.
The victim, Mitchell Owens was also arrested.
The shooting happened at 1122 S. Elm Street at 11:44 Saturday night.
Authorities say an altercation between the four men led to shots being fired.
"It appears all these individuals were known acquaintances and it was a dispute over property which led to the violence taking place," says Major Brent Narges with Pittsburg PD.
Officers are currently looking for an additional suspect connected to the shooting.
If you have any information you can contact the Pittsburg Police Department at 620- 231 -1700.