There’s not a lot of information out there on this house. It is located in Sharq, nearby to the House of Amin. I included it in my list of “then & nows.” The old photograph of it, from Brett Jordan’s flickr, has been posted on reddit and 248. You can see other old pictures of Kuwait in the 1960s here. There are several wonderful accounts that explore the architectural history of Kuwait, including Th9 Neighborhood, Domestic Architecture Kuwait, Noora almusallam.
Here are some photographs of the old house in Sharq at different times of the day.
There other abandoned houses nearby, including this one: