On a leafy lane in Audubon Park, in Louisville, Ky., sits a house that looks like it could have once belonged to Rapunzel. With a fairy-tale turret and Dutch Colonial Revival architecture, the home stands apart from its neighbors. But when Heather and Stefan Rumancik, both 43, purchased the 1930s home in 2009 for $225,000, it was a far cry from its present-day version. “We bought the house from its second owners, who had owned it since the 1940s, but the home itself hadn’t been updated in 30 years,” says Mrs. Rumancik, a competitive intelligence executive at a pharmaceutical company, who shares the home with Mr. Rumancik and their daughter, Adrienne.

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