Doctors told her it was the sheer number of stings was the equivalent of being bitten by a brown snake.
That evening, Evie's skin swelled up with welts from the stings.
"She's back home and she's doing well. It's very hard to face that reality that it was touch and go, we could've lost her," Zeitsch told The Canberra Times.
A single wasp can alert other wasps to swarm around a perceived threat.
European wasps are far more aggressive than native wasps, such as the more docile paper wasp, and have no known natural predators.
Zeitsch said: "I'd implore people to do their bit to identify European wasp nests and get rid of them. The wasps have no predators and are breeding out of control over the country".
Vic Health advises that paper wasps are longer and thinner than European wasps and have orange-brown antennae; European wasps have all black antennae.
Paper wasps' back legs dangle down during flight while European wasps hold their legs close to their bodies. The native wasp also has distinctive nests with visible hexagonal cells above the ground. European wasp nests are rarely seen.
Zeitsch encouraged people to donate to the NETs helicopter service, that ferried her daughter to hospital, Ronald McDonald House, where they stayed, and regional hospitals.