Virginia State Police confirmed that Alexia Lockett was shot before Hutchinson fled the scene.
Police responded to a residence in the 1700-block of Avon Road in Nelson County.
Lockett was found dead inside the home.
Her remains were transported to the Office of the Medical Examiner in Richmond for autopsy and examination.
UPDATE 8:48 p.m.
Family members tell ABC 13 the Nelson County woman killed was Alexia Lockett, 28.
They say the suspect, Anthony Hutchinson, is her cousin.
They say both Lockett and Hutchinson lived on Avon Road in Afton with her father.
Police re-opened Route 29 in both directions.
It had been closed for hours.
UPDATE 5:00 p.m.
Virginia State Police say they are assisting the Amherst County Sheriff's Office in the investigation of this shooting.
The Amherst Sheriff's received a lookout for a 2014 maroon Nissan Altima that may be travelling on Route 29, which was a suspect in the Nelson County shooting.
Sheriff's attempted to stop a vehicle on Route 29 matching that description. After the deputy activated his emergency lights, the Nissan fled south on Route 29.
As the Nissan approached Spencer Mountain Road, it ran off the left side of the road, lost control and crashed.
Officials say that as deputies got out of their vehicles, the driver of the Nissan opened fire with a handgun from inside the Nissan and hit one of the deputies.
Deputies returned gunfire and shot the suspect.
The suspect, Anthony Mikai Hutchinson, 40, of Waynesboro, died at the scene.
In accordance with Amherst County policy, three deputies have been put on administrative leave while the investigation takes place.
UPDATE: Virginia State Police have identified the suspect in the shooting on Route 29 as Anthony Mikai Hutchinson, 40, of Waynesboro.
Police have also confirmed the incident is connected to the deadly shooting in Nelson County this morning.
AMHERST Co., Va. (WSET) -- A person is dead and a deputy was shot and injured after a crash in Amherst County Sunday.
The Amherst County Sheriff's Office said at around 11:20 a.m., deputies tried to stop a vehicle that matched the description of a vehicle wanted in Nelson County.
They said the suspect lost control of the vehicle and crashed along Route 29 South near Spencer Mountain Road.
Upon crashing, the suspect fired off shots, and a deputy was shot.
More shots were exchanged between the suspect and police, and the suspect is now dead.
The deputy was transported to a nearby hospital for treatment of minor injuries.
The Virginia State Police Bureau of Criminal Investigation's Appomattox Field Office is at the scene and investigating.
State Police are trying to determine if this incident is related to a possible homicide in Nelson County.
This is a developing story.