Well, for Furusato House, the title is the same with where the story is placed. Furusato is the family name of the lord of the House, and it's meaning is "home". The heroine (Mayu) has to deal with the problem, that maybe she will never be able to get back to her home, so Furusato House will be her new home.
I think for Dreamcatchers it's pretty obvious why I gave this title. We follow the story of Sohiru and Iko, who are about to catch Sohiru's nightmares instead of the broken Dreamcatcher.
I love giving titles and names, I think this is one of the best part of writing a story. 