An Australian mum has come out of her coma, months after the volcano eruption on New Zealand's White Island that killed her husband and daughter.

Adelaide woman Lisa Dallow has woken from her coma in Melbourne's Alfred Hospital and is in a serious but stable condition.

Ms Dallow, 48, was told the tragic news of her husband Gavin Dallow and 15-year-old daughter Zoe Hosking.

The family were on a day trip to White Island while cruising on the liner Ovation when the volcano erupted on December 9, killing 21.

Other members of Ms Dallow's family have been keeping a bedside vigil in Melbourne during her recovery.

A family spokesman in Adelaide confirmed she had woken and had been informed of the loss of her husband and daughter.

Ms Dallow, an engineer with Santos, was flown back to Australia after the eruption with burns to more than half of her body.

The family has also confirmed that a funeral for Zoe is being delayed until such time as Ms Dallow is well enough to attend.

Mr Dallow, a lawyer, was farewelled at Adelaide Oval on January 10 in a service in front of about 600 mourners.

Of the 47 people reportedly on the island at the time, 19 were killed instantly or later succumbed to their injuries.

Two people, Hayden Marshall-Inman of New Zealand and Winona Langford of Australia, were initially listed as missing before being presumed dead on January 23.

Most of the victims were Australian tourists.

Melbourne man Paul Browitt died in January at The Alfred due to injuries from the eruption which also claimed his daughter Krystal.

His other daughter Stephanie remains in the Alfred for treatment.

Another 26 were injured, with many still recovering from their burns and other injuries at hospitals in Australia, New Zealand and the United States .

© AAP 2020