Hugh McFall, 48, is believed to have murdered wife Sue, 56, and daughter Francesca, 18, at their Oswestry home in February before taking his own life.
Post-mortem tests found Francesca was hit on the head at least five times and her mother once, probably while asleep.
A rubber mallet was found by Mrs McFall’s feet, the inquest was told.
Mr McFall was later found hanging in an industrial unit near to their Hampton Road bungalow on 5 February.
Home Office pathologist, Alexander Kolar, has been speaking at the inquest into the three deaths at Shrewsbury Magistrates’ Court.
The inquest is expected to last two days.