"We're very keen to speak to them to complete our account of what happened. We ask them to make contact with Queenstown police.''
The cause of the fire was still unknown, Det Sgt Shaw said.
Police and a fire safety investigation officer have launched investigations into the cause.
Campers worked in relay with three hand-pump fire extinguishers to contain the fire to the homestead, outbuilding and surrounding lawn.
Fire and Emergency New Zealand communications shift manager Tim Reynolds said about 20 firefighters and appliances from Arrowtown, Queenstown and rural fire attended the incident.
The fire was fully out by 4am, he said.
According to Doc, the homestead was one of only two remaining timber buildings in the Skippers area dating to the gold rush era.
The neighbouring school, which was not damaged, was built in 1879.
Both buildings are listed as category 2 historic places by Heritage New Zealand.
Its website states the homestead was "probably cobbled together from at least three other small timber buildings'' and inhabited by runholders of the former Mount Aurum Station from the 1890s.
Doc restored the homestead and school in 2011.