UPDATED Thursday, October 3, 2013 --- 5:15 p.m.

Madison --- NBC15 has learned the name of the person killed overnight in Madison. The victims' lawyer has confirmed 30-year old Lamontez White was the man shot dead. The attorney was notified by family members this morning after White was supposed to be in court later today.

The shooting happened just after 1a.m. on the 2300 Block of Fish Hatchery Road. Police say, multiple people were inside the apartment when it happened, and the shooting was not random.

"The information that we have right now is very targeted. There were other people inside that apartment, and they were not shot, only one person was shot," said Joel DeSpain, with the Madison Police Department.

Madison Police also say, among the people in the apartment when the murder happened, a teenager, and the victim's small child who was asleep at the time.

Police are interviewing witnesses and are still searching for a suspect.

Madison Police Detectives say they are investigating a homicide that happened early Thursday morning.

The shooting took place at an apartment in the 2300 block Fish Hatchery Rd. around 1:11 a.m.

The victim is a 30-year-old Madison man, who lived at the apartment.

Officers say this does not appear to be a random act of violence.

They believe there was some type of disturbance that took place inside the apartment prior to the shooting.

There were multiple people inside the apartment at the time of the crime. Madison Police are looking to talk with anyone who has information on this homicide. They are asked to contact Madison Area Crime Stoppers at 266-6014.