A Plot Bunneh Question

Guys, I have a quick question: Okay, so as stated in a past post Stately, Country English Houses, part of my latest Plot Bunny involves a smallish country house built in the Victorian era. The house belonged to an old woman, who inherited it from her parents. Now, the old woman's family is trying to decide what to do with the house. Do they try to build up a case to get it listed in the register