Gardaí say they're not being released for operational reasons.
56-year-old Eileen O'Sullivan and her son, 24-year-old Jamie, were shot dead in their home in Lixnaw on Tuesday.
Eileen's partner, Maurice, was found dead nearby, with a gun near his body.
Gardai say they're not looking for anyone else as part of their investigation, but no motive has been established.
