But as they began the house hunt, those dreams came crashing down.
"I think reality can bring you back down to earth," she said.
Their requirements are that the house be warm and healthy, have three bedrooms, have a back yard for the kids to play in, and be within commuting distance to the Wellington CBD.
The maximum commute they are looking at is about 45 minutes. While they did look at buying in Featherston in Wairarapa, Cole said they would not be able to afford that commute on top of mortgage payments.
She didn't mind having to do DIY work if walls needed peeling and repainting and so on, but the house needed to be of a quality that it would still be easily resalable in several years' time.
They have only put in one tender so far, but Cole said the issue was more that there were few houses in a price range low enough to even put an offer in.
Cole's parents put an ad in the local paper today making a plea for help.
"Our kids have 1/2 million $$$ and would love to own their own home," the ad read.
"Pops & Grandma have done all they can $$."
Since being interviewed on Newstalk ZB this morning, callers have already been contacting the station to say they have houses that Cole could look at.
She said if anyone wanted to contact her they could look at doing a private sale - cutting out the hassle of real estate agent fees and open homes.
Cole can be contacted by email at coleshousehunt@gmail.com or by phone on 022 328 1082.