"He put up the strongest and most courageous fight.''
Smith's wife Jane and their children Toby and Annie thanked members of the public and all those who had reached out to them with offers of support and donations for the family.
"Words cannot express our gratitude to you all.''
A relative said the family's home had been "completely destroyed'' by last month's blaze.
Smith, in his 50s, suffered his injuries while attempting to fight the fire himself in a bid to save both his family and their home, she said.
Emergency services were called to the area about 3.30am that morning following reports of a fire. The main road had to be closed off for a number of hours.
The cause of the blaze has not yet been released by authorities.
Shortly after 7.30pm, just over $11,500 had been donated to the family.