The bodies, discovered Friday afternoon in Hudson's mother's South Side home, have not been officially identified, the newspaper said. The home belongs to Hudson's mother, Darnell Donnerson.
Neighbors reported hearing gunshots between 8 a.m. and 9 a.m. Friday, the newspaper said.
Julian King, the 7-year-old grandson of Hudson's mother, was reported missing. Police said he was taken from a house in Chicago in a white 1994 Chevrolet Suburban sport utility vehicle that records indicate is registered to Hudson's brother.
Police said the boy might be with William Balfour, who they identified as a suspect in the deaths, the Sun-Times said. Balfour, 27, was paroled in 2006 after serving time for a variety of convictions including attempted murder and vehicular hijacking.
"Officers responded to a call of two people found unresponsive," Chicago Police Department spokesman John Mirabelli told Usmagazine.com. "They discovered a male and a female that had sustained fatal gunshot wounds. Right now, our investigation is a double homicide. We understand family members are on the scene."