Ms McCrory, a mother of two in her forties, was found after emergency services were called to a fire at her home on the Howth Road in Clontarf.
George Turner, 53, has now been charged with Ms McCrory’s murder.
Turner’s defence solicitor, Tony Collier, has requested a psychiatric assessment for his client, pointing out his history of mental illness.
He was remanded in custody to appear at Cloverhill Court on Friday, March 24