The company which owns the prospecting rights to the abandoned mine in which at least 30 "illegal miners" were trapped says heavy rain may have been a trigger for the shaft's collapse.
Chinese-owned bullion producer Gold One owns the prospecting rights to the abandoned gold shaft, however was not currently working in it.
"The illegal miners have dug a tunnel right next to it to access the shaft and it has collapsed behind them," Gold One spokesman Grant Stuart said.
Emergency services in South Africa have been using a crane to shift a large concrete slab obstructing the shaft.
More top news
Between 4,000 and 8,000 fighters of the so-called Islamic State are still thought to be in the area.
Police are trying to find the driver of the car following the incident in Kingfisher Close, Brownhills.
An unnamed man died at the scene, while a woman was pronounced dead after being taken to St George's Hospital, Tooting, south-west London.