Sherry White, 51, and her 20-year-old son Kyle Lavergne were both killed Friday, police said.
The shootings happened at the victims' home off Ferdinand and Brinkley.
Relatives were worried when they hadn't heard from the two in a couple days. They forced their way into the home and found their loved ones' bodies.
Family friend Kenneth Terrell knew White her entire life. He described her as a good friend and neighbor and an excellent mother.
Her son always had smile on his face, he said. Lavergne graduated from Lamar High School in 2009 and was studying to become an airline mechanic.
"[White] was a very good, kind, loving person, and I know that if others of her family were speaking, they would be able to tell you that this is senseless. This is the most senseless act," Terrell said.
White dated Prevost only for a couple months. Police have confirmed what family members suspected -- that White was trying end her brief relationship with Prevost, and he did not like that.
Police also say Prevost came back to the scene Saturday afternoon and acted as if nothing had happened.