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Las Vegas, NV (KTNV) -- A 28-year-old man who is being accused of gunning down William and Kathryn Wilson in the street outside their home told his girlfriend that the pair was trying to poison him.

Jeffrey Wilson is facing charges in the slaying of 58-year-old Kathryn Wilson and the shooting of 61-year-old William Wilson.

Jeffrey Wilson is their son.

The shooting happened at about 4:45 a.m. Wednesday in the 3000 block of Greendale St., near Vegas Valley Drive and Lamb Boulevard.

The couple was shot as they were leaving to go to the airport. Kathryn was killed in the front passenger seat and William was found on the ground beside the car.

According to the arrest report released by the Las Vegas Metropolitan Police Department, William Wilson told responding police officers that he did not see who shot him but that he had an argument with his son, Jeffrey, a couple of hours earlier.

A witness in the neighborhood told police officers that she had heard the gunshots and observed a man standing by the Wilson's car. The witness said that she believed the person was Jeffrey based upon the person's body size and clothing.

Police began an investigation and discovered that surveillance equipment in the couple's truck and installed on their house had been disabled and removed.

At approximately 11 a.m. on Wednesday, police were able to locate Jeffrey with his girlfriend and their two small children in a room at Arizona Charlie's on Boulder Highway. He was taken into custody.

Jeffrey's girlfriend, Bobbie Bellomy, was also taken to LVMPD headquarters to be interviewed.

The arrest report says that when detectives told Jeffrey that his mother was dead and that his father had been shot, he did not display much emotion other than to curse. He did not cry or become emotionally upset.

He also did not appear to become upset when the detectives told him that they wanted to speak to him specifically about the shooting.

Police detectives also interviewed Jeffrey's girlfriend. According to Bobbie Bellomy, Jeffrey had called her and told her that his parents rented him a room and he wanted her to come with the children.

Bellomy said that he left the hotel room at about 1 a.m. that morning and was gone for an hour. He went back out at about 4:09 a.m. and did not return until shortly before 5 a.m. When she asked where he was, he told her that his van had broken down.

A short time later, Jeffrey asked to borrow her car to go to his storage unit.

When police detectives told Bellomy what had happened to Jeffrey's parents and that they believed Jeffrey might be responsible, Bellomy became quite upset.

Bellomy said that Jeffrey had been using a lot of methamphetamine over the last few weeks and that he had been acting increasingly irrational and paranoid.

She also said that Jeffrey believed that his parents were trying to poison him.

A search of Jeffrey's unit turned up numerous 9mm and .40-caliber cartridges consistent with the casings and cartridge located at the scene of the shooting.

Security equipment with damaged cables were also found in the storage unit.

Search warrants for the parents car and Jeffrey's van turned up several projectiles, projectile fragments and projectile jackets. More surveillance equipment was also found in Jeffrey's van.

In addition, a Glock .40-caliber pistol was discovered in the center console of Jeffrey's van.

Jeffrey Wilson is currently being held at the Clark County Detention Center on recommended charges of murder with a deadly weapon and attempted murder with a deadly weapon.