"We need to take care of our elderly family members and if we can make her feel safer any way we can then that's what we will do."
Sue Tutt described her mum as a "feisty and independent" woman and Harwood's grandson Kevin Tutt said they were considering installing security cameras.
Detective Senior Sergeant Glenn Baldwin called the incident a "deplorable attack on a vulnerable person".
"Our elderly have the right to feel safe in their own homes without the fear of something like this happening."
Police "flooded the area", but could not find the offenders.