Ms Klingler described the response as amazing. "We were surprised about it, but yeah, it's awesome. Family helping out is always good."
Lily will need to undergo another open-heart operation when she is 2, or earlier if her condition deteriorates, Ms Klingler said.
She would also need a heart transplant if she made it to the age of 5. There was only a "50/50" chance of that, her mother said. "It's not something you can fix."
Thirty years ago, children with Lily's condition would have already died, Ms Klingler said.
"We're still very lucky; there are still babies they can't help."
Mr Bryant said raising a small child was hard enough "let alone not knowing how she's doing day-to-day".
"This just gives them a bit more peace of mind to get through it all.
"It was pretty amazing what came in. It was super generous," he said.
A total of 41 items were donated, from labels Wunderkammer, Zora Bell-Boyd Jewellery, Deadly Ponies, Kowtow, Meadowlark, Just Another Fisherman and others.
Some jewellery items donated were valued at more than $500, while the Deadly Ponies clutch bag retailed for $610.
The total retail value of all the items was $7900, Mr Bryant said.
Any money raised above the $1600 needed for the oximeter machine will be donated to the @Heart Foundation, a non-government-funded charity which supports children and families affected by Congenital Heart Disease.
Mr Bryant was confident they would be able to make a sizeable donation to the foundation. "It should go pretty crazy, hopefully."
How to help
• @ Heart Foundation:
www.heartnz.org.nz
• Website for fashion auction:
tinyurl.com/lilysauction