The front door and hallway of the house were damaged in the fire, police say.
Lyness’ fiancée and mother of three Anita Downey, 51, bled to death on the floor of his Lurgan home.
Glenavon move level on points with Premiership leaders Coleraine and Linfield after a hard-fought 2-1 win over Newry City.
Police say they received reports of the incident in Lurgan shortly after midnight on Wednesday morning.
It was the second time Gail Chambers had perverted the course of justice by making a false rape claim.