The Independent on Tuesday wrote to Mr Morrison, requesting he have Immigration Minister David Coleman issue a stay for Sri Lankan Tamil couple Nadesalingam and Priya and their Australian-born daughters Kopika and Tharunicca.

"I join the many people in my electorate in urging you to ask the Minister for Immigration to use the powers available to him to enable Nades, Priya and their children to settle in Australia," Dr Haines wrote.

She noted there were almost 16,000 boat arrivals in Australia on temporary protection visas that needed more equity.

Dr Haines wrote "thousands of people are living in limbo and experience distress, indignity and discomfort".

"Can you advise what steps the Government is taking to ensure we have an asylum seeker and refugee assessment system that is fair and timely, and which delivers certainty and security to the many people who have sought Australia's protection?" she asked.

Mr Morrison has said he would not intervene because to do so would encourage people smugglers.

Dr Haines on Tuesday night addressed a vigil for the family held outside her Wangaratta office by members of Rural Australians for Refugees.

Up to 40 people from across the North East were estimated to have gathered for the 5pm to 6pm event, with some of those carrying placards featuring photos of the family.

Dr Haines said feedback to her offices saw 80 per cent against deportation and 20 per cent supporting the government's stance.